What is LCM of 1225 and 105?


Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 1225 and 105, is defined as the smallest positive integer that is divisible by both. It is written as LCM(1225, 105).

Properties of LCM

  • The LCM of two or more prime numbers is exactly equal to their product.
  • LCM is associative which means LCM(1225, 105) = LCM(105, 1225).
  • LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
  • LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
  • The LCM of two given numbers is always greater than the given numbers numbers. Eg- LCM of 1225 and 105 is 3675, where 3675 is greater than 1225 and 105.

Steps to find lcm of 1225 and 105 by Listing Method

Example: Find lcm of 1225 and 105 by Listing Method

  • Multiples of 1225: 1225, 2450, 3675, 4900, 6125, 7350, 8575, 9800, 11025, 12250, 13475, 14700, 15925, 17150, 18375, 19600, 20825, 22050, 23275, 24500, 25725, 26950, 28175, 29400, 30625, 31850, 33075, 34300, 35525, 36750, 37975, 39200, 40425, 41650, 42875, 44100, 45325, 46550, 47775, 49000, 50225, 51450, 52675, 53900, 55125, 56350, 57575, 58800, 60025, 61250, 62475, 63700, 64925, 66150, 67375, 68600, 69825, 71050, 72275, 73500, 74725, 75950, 77175, 78400, 79625, 80850, 82075, 83300, 84525, 85750, 86975, 88200, 89425, 90650, 91875, 93100, 94325, 95550, 96775, 98000, 99225, 100450, 101675, 102900, 104125, 105350, 106575, 107800, 109025, 110250, 111475, 112700, 113925, 115150, 116375, 117600, 118825, 120050, 121275, 122500, 123725, 124950, 126175, 127400, 128625
  • Multiples of 105: 105, 210, 315, 420, 525, 630, 735, 840, 945, 1050, 1155, 1260, 1365, 1470, 1575, 1680, 1785, 1890, 1995, 2100, 2205, 2310, 2415, 2520, 2625, 2730, 2835, 2940, 3045, 3150, 3255, 3360, 3465, 3570, 3675, 3780, 3885, 3990, 4095, 4200, 4305, 4410, 4515, 4620, 4725, 4830, 4935, 5040, 5145, 5250, 5355, 5460, 5565, 5670, 5775, 5880, 5985, 6090, 6195, 6300, 6405, 6510, 6615, 6720, 6825, 6930, 7035, 7140, 7245, 7350, 7455, 7560, 7665, 7770, 7875, 7980, 8085, 8190, 8295, 8400, 8505, 8610, 8715, 8820, 8925, 9030, 9135, 9240, 9345, 9450, 9555, 9660, 9765, 9870, 9975, 10080, 10185, 10290, 10395, 10500, 10605, 10710, 10815, 10920, 11025, 11130, 11235, 11340, 11445, 11550, 11655, 11760, 11865, 11970, 12075, 12180, 12285, 12390, 12495, 12600, 12705, 12810, 12915, 13020, 13125, 13230, 13335, 13440, 13545, 13650, 13755, 13860, 13965, 14070, 14175, 14280, 14385, 14490, 14595, 14700, 14805, 14910, 15015, 15120, 15225, 15330, 15435, 15540, 15645, 15750, 15855, 15960, 16065, 16170, 16275, 16380, 16485, 16590, 16695, 16800, 16905, 17010, 17115, 17220, 17325, 17430, 17535, 17640, 17745, 17850, 17955, 18060, 18165, 18270, 18375, 18480, 18585, 18690, 18795, 18900, 19005, 19110, 19215, 19320, 19425, 19530, 19635, 19740, 19845, 19950, 20055, 20160, 20265, 20370, 20475, 20580, 20685, 20790, 20895, 21000, 21105, 21210, 21315, 21420, 21525, 21630, 21735, 21840, 21945, 22050, 22155, 22260, 22365, 22470, 22575, 22680, 22785, 22890, 22995, 23100, 23205, 23310, 23415, 23520, 23625, 23730, 23835, 23940, 24045, 24150, 24255, 24360, 24465, 24570, 24675, 24780, 24885, 24990, 25095, 25200, 25305, 25410, 25515, 25620, 25725, 25830, 25935, 26040, 26145, 26250, 26355, 26460, 26565, 26670, 26775, 26880, 26985, 27090, 27195, 27300, 27405, 27510, 27615, 27720, 27825, 27930, 28035, 28140, 28245, 28350, 28455, 28560, 28665, 28770, 28875, 28980, 29085, 29190, 29295, 29400, 29505, 29610, 29715, 29820, 29925, 30030, 30135, 30240, 30345, 30450, 30555, 30660, 30765, 30870, 30975, 31080, 31185, 31290, 31395, 31500, 31605, 31710, 31815, 31920, 32025, 32130, 32235, 32340, 32445, 32550, 32655, 32760, 32865, 32970, 33075, 33180, 33285, 33390, 33495, 33600, 33705, 33810, 33915, 34020, 34125, 34230, 34335, 34440, 34545, 34650, 34755, 34860, 34965, 35070, 35175, 35280, 35385, 35490, 35595, 35700, 35805, 35910, 36015, 36120, 36225, 36330, 36435, 36540, 36645, 36750, 36855, 36960, 37065, 37170, 37275, 37380, 37485, 37590, 37695, 37800, 37905, 38010, 38115, 38220, 38325, 38430, 38535, 38640, 38745, 38850, 38955, 39060, 39165, 39270, 39375, 39480, 39585, 39690, 39795, 39900, 40005, 40110, 40215, 40320, 40425, 40530, 40635, 40740, 40845, 40950, 41055, 41160, 41265, 41370, 41475, 41580, 41685, 41790, 41895, 42000, 42105, 42210, 42315, 42420, 42525, 42630, 42735, 42840, 42945, 43050, 43155, 43260, 43365, 43470, 43575, 43680, 43785, 43890, 43995, 44100, 44205, 44310, 44415, 44520, 44625, 44730, 44835, 44940, 45045, 45150, 45255, 45360, 45465, 45570, 45675, 45780, 45885, 45990, 46095, 46200, 46305, 46410, 46515, 46620, 46725, 46830, 46935, 47040, 47145, 47250, 47355, 47460, 47565, 47670, 47775, 47880, 47985, 48090, 48195, 48300, 48405, 48510, 48615, 48720, 48825, 48930, 49035, 49140, 49245, 49350, 49455, 49560, 49665, 49770, 49875, 49980, 50085, 50190, 50295, 50400, 50505, 50610, 50715, 50820, 50925, 51030, 51135, 51240, 51345, 51450, 51555, 51660, 51765, 51870, 51975, 52080, 52185, 52290, 52395, 52500, 52605, 52710, 52815, 52920, 53025, 53130, 53235, 53340, 53445, 53550, 53655, 53760, 53865, 53970, 54075, 54180, 54285, 54390, 54495, 54600, 54705, 54810, 54915, 55020, 55125, 55230, 55335, 55440, 55545, 55650, 55755, 55860, 55965, 56070, 56175, 56280, 56385, 56490, 56595, 56700, 56805, 56910, 57015, 57120, 57225, 57330, 57435, 57540, 57645, 57750, 57855, 57960, 58065, 58170, 58275, 58380, 58485, 58590, 58695, 58800, 58905, 59010, 59115, 59220, 59325, 59430, 59535, 59640, 59745, 59850, 59955, 60060, 60165, 60270, 60375, 60480, 60585, 60690, 60795, 60900, 61005, 61110, 61215, 61320, 61425, 61530, 61635, 61740, 61845, 61950, 62055, 62160, 62265, 62370, 62475, 62580, 62685, 62790, 62895, 63000, 63105, 63210, 63315, 63420, 63525, 63630, 63735, 63840, 63945, 64050, 64155, 64260, 64365, 64470, 64575, 64680, 64785, 64890, 64995, 65100, 65205, 65310, 65415, 65520, 65625, 65730, 65835, 65940, 66045, 66150, 66255, 66360, 66465, 66570, 66675, 66780, 66885, 66990, 67095, 67200, 67305, 67410, 67515, 67620, 67725, 67830, 67935, 68040, 68145, 68250, 68355, 68460, 68565, 68670, 68775, 68880, 68985, 69090, 69195, 69300, 69405, 69510, 69615, 69720, 69825, 69930, 70035, 70140, 70245, 70350, 70455, 70560, 70665, 70770, 70875, 70980, 71085, 71190, 71295, 71400, 71505, 71610, 71715, 71820, 71925, 72030, 72135, 72240, 72345, 72450, 72555, 72660, 72765, 72870, 72975, 73080, 73185, 73290, 73395, 73500, 73605, 73710, 73815, 73920, 74025, 74130, 74235, 74340, 74445, 74550, 74655, 74760, 74865, 74970, 75075, 75180, 75285, 75390, 75495, 75600, 75705, 75810, 75915, 76020, 76125, 76230, 76335, 76440, 76545, 76650, 76755, 76860, 76965, 77070, 77175, 77280, 77385, 77490, 77595, 77700, 77805, 77910, 78015, 78120, 78225, 78330, 78435, 78540, 78645, 78750, 78855, 78960, 79065, 79170, 79275, 79380, 79485, 79590, 79695, 79800, 79905, 80010, 80115, 80220, 80325, 80430, 80535, 80640, 80745, 80850, 80955, 81060, 81165, 81270, 81375, 81480, 81585, 81690, 81795, 81900, 82005, 82110, 82215, 82320, 82425, 82530, 82635, 82740, 82845, 82950, 83055, 83160, 83265, 83370, 83475, 83580, 83685, 83790, 83895, 84000, 84105, 84210, 84315, 84420, 84525, 84630, 84735, 84840, 84945, 85050, 85155, 85260, 85365, 85470, 85575, 85680, 85785, 85890, 85995, 86100, 86205, 86310, 86415, 86520, 86625, 86730, 86835, 86940, 87045, 87150, 87255, 87360, 87465, 87570, 87675, 87780, 87885, 87990, 88095, 88200, 88305, 88410, 88515, 88620, 88725, 88830, 88935, 89040, 89145, 89250, 89355, 89460, 89565, 89670, 89775, 89880, 89985, 90090, 90195, 90300, 90405, 90510, 90615, 90720, 90825, 90930, 91035, 91140, 91245, 91350, 91455, 91560, 91665, 91770, 91875, 91980, 92085, 92190, 92295, 92400, 92505, 92610, 92715, 92820, 92925, 93030, 93135, 93240, 93345, 93450, 93555, 93660, 93765, 93870, 93975, 94080, 94185, 94290, 94395, 94500, 94605, 94710, 94815, 94920, 95025, 95130, 95235, 95340, 95445, 95550, 95655, 95760, 95865, 95970, 96075, 96180, 96285, 96390, 96495, 96600, 96705, 96810, 96915, 97020, 97125, 97230, 97335, 97440, 97545, 97650, 97755, 97860, 97965, 98070, 98175, 98280, 98385, 98490, 98595, 98700, 98805, 98910, 99015, 99120, 99225, 99330, 99435, 99540, 99645, 99750, 99855, 99960, 100065, 100170, 100275, 100380, 100485, 100590, 100695, 100800, 100905, 101010, 101115, 101220, 101325, 101430, 101535, 101640, 101745, 101850, 101955, 102060, 102165, 102270, 102375, 102480, 102585, 102690, 102795, 102900, 103005, 103110, 103215, 103320, 103425, 103530, 103635, 103740, 103845, 103950, 104055, 104160, 104265, 104370, 104475, 104580, 104685, 104790, 104895, 105000, 105105, 105210, 105315, 105420, 105525, 105630, 105735, 105840, 105945, 106050, 106155, 106260, 106365, 106470, 106575, 106680, 106785, 106890, 106995, 107100, 107205, 107310, 107415, 107520, 107625, 107730, 107835, 107940, 108045, 108150, 108255, 108360, 108465, 108570, 108675, 108780, 108885, 108990, 109095, 109200, 109305, 109410, 109515, 109620, 109725, 109830, 109935, 110040, 110145, 110250, 110355, 110460, 110565, 110670, 110775, 110880, 110985, 111090, 111195, 111300, 111405, 111510, 111615, 111720, 111825, 111930, 112035, 112140, 112245, 112350, 112455, 112560, 112665, 112770, 112875, 112980, 113085, 113190, 113295, 113400, 113505, 113610, 113715, 113820, 113925, 114030, 114135, 114240, 114345, 114450, 114555, 114660, 114765, 114870, 114975, 115080, 115185, 115290, 115395, 115500, 115605, 115710, 115815, 115920, 116025, 116130, 116235, 116340, 116445, 116550, 116655, 116760, 116865, 116970, 117075, 117180, 117285, 117390, 117495, 117600, 117705, 117810, 117915, 118020, 118125, 118230, 118335, 118440, 118545, 118650, 118755, 118860, 118965, 119070, 119175, 119280, 119385, 119490, 119595, 119700, 119805, 119910, 120015, 120120, 120225, 120330, 120435, 120540, 120645, 120750, 120855, 120960, 121065, 121170, 121275, 121380, 121485, 121590, 121695, 121800, 121905, 122010, 122115, 122220, 122325, 122430, 122535, 122640, 122745, 122850, 122955, 123060, 123165, 123270, 123375, 123480, 123585, 123690, 123795, 123900, 124005, 124110, 124215, 124320, 124425, 124530, 124635, 124740, 124845, 124950, 125055, 125160, 125265, 125370, 125475, 125580, 125685, 125790, 125895, 126000, 126105, 126210, 126315, 126420, 126525, 126630, 126735, 126840, 126945, 127050, 127155, 127260, 127365, 127470, 127575, 127680, 127785, 127890, 127995, 128100, 128205, 128310, 128415, 128520, 128625

Hence, LCM of 1225 and 105 is 3675.

Steps to find LCM of 1225 and 105 by Common Division Method

Example: Find lcm of 1225 and 105 by Common Division Method

3 1225 105
5 1225 35
5 245 7
7 49 7
7 7 1
1 1

Hence, LCM of 1225 and 105 is 3 x 5 x 5 x 7 x 7 = 3675.

Steps to find lcm of 1225 and 105 by Formula

Example: Find lcm of 1225 and 105 by Formula

  • GCF of 1225 and 105 = 35
  • LCM of 1225 and 105 = (1225 x 105) / 35
  • => 128625 / 35

Hence, LCM of 1225 and 105 is 3675.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 1225 and 105 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 1225 and 105 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 1225 and 105.
So, LCM of 1225 and 105 is 3675.

A shopkeeper sells candies in packet of 1225 and chocolates in packet of 105. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 1225 and 105.
So, LCM of 1225 and 105 is 3675.

Boxes that are 1225 inches tall are being pilled next to boxes that are 105 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 1225 and 105.
So, LCM of 1225 and 105 is 3675.

Sammy's company prints 1225 textbooks at a time. Daniel's company prints textbooks in sets of 105 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 1225 and 105.
So, LCM of 1225 and 105 is 3675.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 1225 and 105 is GCF(1225, 105) * LCM(1225, 105) = (1225 x 105) / GCF(1225, 105) = 3675.

Find the least number which is exactly divisible by 1225 and 105.

Least number which is exactly divisible by 1225 and 105 is 3675.

Find the LCM of 1225 and 105 using GCF method.

Greatest common factor or gcf of 1225 and 105 is GCF(1225, 105) x LCM(1225, 105) = (1225 x 105) / GCF(1225, 105) = 3675.