What is the LCM of 360 and 525 - Find out answer step by step

Definition of LCM

LCM stands for least common multiple. In mathematics, LCM of two numbers 360 and 525, is defined as the smallest positive integer that is divisible by both. It is written as LCM(360, 525).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 360 and 525 is 12600, where 360 and 525 are less than 12600.
LCM is associative which means LCM(360, 525) = LCM(525, 360).
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 or more prime numbers is their product.

Steps to find lcm of 360 and 525 by Listing Method

Find some first multiples of 360 and 525.
Find the least common multiple, and read off the answer!

Example: Find lcm of 360 and 525 by Listing Method

Multiples of 360: 360, 720, 1080, 1440, 1800, 2160, 2520, 2880, 3240, 3600, 3960, 4320, 4680, 5040, 5400, 5760, 6120, 6480, 6840, 7200, 7560, 7920, 8280, 8640, 9000, 9360, 9720, 10080, 10440, 10800, 11160, 11520, 11880, 12240, 12600, 12960, 13320, 13680, 14040, 14400, 14760, 15120, 15480, 15840, 16200, 16560, 16920, 17280, 17640, 18000, 18360, 18720, 19080, 19440, 19800, 20160, 20520, 20880, 21240, 21600, 21960, 22320, 22680, 23040, 23400, 23760, 24120, 24480, 24840, 25200, 25560, 25920, 26280, 26640, 27000, 27360, 27720, 28080, 28440, 28800, 29160, 29520, 29880, 30240, 30600, 30960, 31320, 31680, 32040, 32400, 32760, 33120, 33480, 33840, 34200, 34560, 34920, 35280, 35640, 36000, 36360, 36720, 37080, 37440, 37800, 38160, 38520, 38880, 39240, 39600, 39960, 40320, 40680, 41040, 41400, 41760, 42120, 42480, 42840, 43200, 43560, 43920, 44280, 44640, 45000, 45360, 45720, 46080, 46440, 46800, 47160, 47520, 47880, 48240, 48600, 48960, 49320, 49680, 50040, 50400, 50760, 51120, 51480, 51840, 52200, 52560, 52920, 53280, 53640, 54000, 54360, 54720, 55080, 55440, 55800, 56160, 56520, 56880, 57240, 57600, 57960, 58320, 58680, 59040, 59400, 59760, 60120, 60480, 60840, 61200, 61560, 61920, 62280, 62640, 63000, 63360, 63720, 64080, 64440, 64800, 65160, 65520, 65880, 66240, 66600, 66960, 67320, 67680, 68040, 68400, 68760, 69120, 69480, 69840, 70200, 70560, 70920, 71280, 71640, 72000, 72360, 72720, 73080, 73440, 73800, 74160, 74520, 74880, 75240, 75600, 75960, 76320, 76680, 77040, 77400, 77760, 78120, 78480, 78840, 79200, 79560, 79920, 80280, 80640, 81000, 81360, 81720, 82080, 82440, 82800, 83160, 83520, 83880, 84240, 84600, 84960, 85320, 85680, 86040, 86400, 86760, 87120, 87480, 87840, 88200, 88560, 88920, 89280, 89640, 90000, 90360, 90720, 91080, 91440, 91800, 92160, 92520, 92880, 93240, 93600, 93960, 94320, 94680, 95040, 95400, 95760, 96120, 96480, 96840, 97200, 97560, 97920, 98280, 98640, 99000, 99360, 99720, 100080, 100440, 100800, 101160, 101520, 101880, 102240, 102600, 102960, 103320, 103680, 104040, 104400, 104760, 105120, 105480, 105840, 106200, 106560, 106920, 107280, 107640, 108000, 108360, 108720, 109080, 109440, 109800, 110160, 110520, 110880, 111240, 111600, 111960, 112320, 112680, 113040, 113400, 113760, 114120, 114480, 114840, 115200, 115560, 115920, 116280, 116640, 117000, 117360, 117720, 118080, 118440, 118800, 119160, 119520, 119880, 120240, 120600, 120960, 121320, 121680, 122040, 122400, 122760, 123120, 123480, 123840, 124200, 124560, 124920, 125280, 125640, 126000, 126360, 126720, 127080, 127440, 127800, 128160, 128520, 128880, 129240, 129600, 129960, 130320, 130680, 131040, 131400, 131760, 132120, 132480, 132840, 133200, 133560, 133920, 134280, 134640, 135000, 135360, 135720, 136080, 136440, 136800, 137160, 137520, 137880, 138240, 138600, 138960, 139320, 139680, 140040, 140400, 140760, 141120, 141480, 141840, 142200, 142560, 142920, 143280, 143640, 144000, 144360, 144720, 145080, 145440, 145800, 146160, 146520, 146880, 147240, 147600, 147960, 148320, 148680, 149040, 149400, 149760, 150120, 150480, 150840, 151200, 151560, 151920, 152280, 152640, 153000, 153360, 153720, 154080, 154440, 154800, 155160, 155520, 155880, 156240, 156600, 156960, 157320, 157680, 158040, 158400, 158760, 159120, 159480, 159840, 160200, 160560, 160920, 161280, 161640, 162000, 162360, 162720, 163080, 163440, 163800, 164160, 164520, 164880, 165240, 165600, 165960, 166320, 166680, 167040, 167400, 167760, 168120, 168480, 168840, 169200, 169560, 169920, 170280, 170640, 171000, 171360, 171720, 172080, 172440, 172800, 173160, 173520, 173880, 174240, 174600, 174960, 175320, 175680, 176040, 176400, 176760, 177120, 177480, 177840, 178200, 178560, 178920, 179280, 179640, 180000, 180360, 180720, 181080, 181440, 181800, 182160, 182520, 182880, 183240, 183600, 183960, 184320, 184680, 185040, 185400, 185760, 186120, 186480, 186840, 187200, 187560, 187920, 188280, 188640, 189000
Multiples of 525: 525, 1050, 1575, 2100, 2625, 3150, 3675, 4200, 4725, 5250, 5775, 6300, 6825, 7350, 7875, 8400, 8925, 9450, 9975, 10500, 11025, 11550, 12075, 12600, 13125, 13650, 14175, 14700, 15225, 15750, 16275, 16800, 17325, 17850, 18375, 18900, 19425, 19950, 20475, 21000, 21525, 22050, 22575, 23100, 23625, 24150, 24675, 25200, 25725, 26250, 26775, 27300, 27825, 28350, 28875, 29400, 29925, 30450, 30975, 31500, 32025, 32550, 33075, 33600, 34125, 34650, 35175, 35700, 36225, 36750, 37275, 37800, 38325, 38850, 39375, 39900, 40425, 40950, 41475, 42000, 42525, 43050, 43575, 44100, 44625, 45150, 45675, 46200, 46725, 47250, 47775, 48300, 48825, 49350, 49875, 50400, 50925, 51450, 51975, 52500, 53025, 53550, 54075, 54600, 55125, 55650, 56175, 56700, 57225, 57750, 58275, 58800, 59325, 59850, 60375, 60900, 61425, 61950, 62475, 63000, 63525, 64050, 64575, 65100, 65625, 66150, 66675, 67200, 67725, 68250, 68775, 69300, 69825, 70350, 70875, 71400, 71925, 72450, 72975, 73500, 74025, 74550, 75075, 75600, 76125, 76650, 77175, 77700, 78225, 78750, 79275, 79800, 80325, 80850, 81375, 81900, 82425, 82950, 83475, 84000, 84525, 85050, 85575, 86100, 86625, 87150, 87675, 88200, 88725, 89250, 89775, 90300, 90825, 91350, 91875, 92400, 92925, 93450, 93975, 94500, 95025, 95550, 96075, 96600, 97125, 97650, 98175, 98700, 99225, 99750, 100275, 100800, 101325, 101850, 102375, 102900, 103425, 103950, 104475, 105000, 105525, 106050, 106575, 107100, 107625, 108150, 108675, 109200, 109725, 110250, 110775, 111300, 111825, 112350, 112875, 113400, 113925, 114450, 114975, 115500, 116025, 116550, 117075, 117600, 118125, 118650, 119175, 119700, 120225, 120750, 121275, 121800, 122325, 122850, 123375, 123900, 124425, 124950, 125475, 126000, 126525, 127050, 127575, 128100, 128625, 129150, 129675, 130200, 130725, 131250, 131775, 132300, 132825, 133350, 133875, 134400, 134925, 135450, 135975, 136500, 137025, 137550, 138075, 138600, 139125, 139650, 140175, 140700, 141225, 141750, 142275, 142800, 143325, 143850, 144375, 144900, 145425, 145950, 146475, 147000, 147525, 148050, 148575, 149100, 149625, 150150, 150675, 151200, 151725, 152250, 152775, 153300, 153825, 154350, 154875, 155400, 155925, 156450, 156975, 157500, 158025, 158550, 159075, 159600, 160125, 160650, 161175, 161700, 162225, 162750, 163275, 163800, 164325, 164850, 165375, 165900, 166425, 166950, 167475, 168000, 168525, 169050, 169575, 170100, 170625, 171150, 171675, 172200, 172725, 173250, 173775, 174300, 174825, 175350, 175875, 176400, 176925, 177450, 177975, 178500, 179025, 179550, 180075, 180600, 181125, 181650, 182175, 182700, 183225, 183750, 184275, 184800, 185325, 185850, 186375, 186900, 187425, 187950, 188475, 189000

Hence, LCM of 360 and 525 is 12600.

Steps to find LCM of 360 and 525 by Common Division Method

Find all the prime numbers that would divide 360 and 525 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 360 and 525 by Common Division Method

2	360 525
2	180 525
2	90 525
3	45 525
3	15 175
5	5 175
5	1 35
7	1 7
	1 1

Hence, LCM of 360 and 525 is 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 = 12600.

Steps to find lcm of 360 and 525 by Formula

The formula for LCM is LCM (360, 525) = (360 x 525) / GCF (360, 525)
Apply the formula, and read off the answer!

Example: Find lcm of 360 and 525 by Formula

GCF of 360 and 525 = 15
LCM of 360 and 525 = (360 x 525) / 15
=> 189000 / 15

Hence, LCM of 360 and 525 is 12600.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 360 and 525 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 360 and 525 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 360 and 525.
So, LCM of 360 and 525 is 12600.

A shopkeeper sells candies in packet of 360 and chocolates in packet of 525. 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 360 and 525.
So, LCM of 360 and 525 is 12600.

Both the cricket team and the rugby team had games, today. The cricket team plays every 360 days and the basketball team plays every 525 days. When will both teams have games on the same day again?

Given that the cricket team plays every 360 days and the basketball team plays every 525 days, so for finding the next time when both teams will play again we need to find the LCM of 360 and 525.
So, LCM of 360 and 525 is 12600.

Sammy's company prints 360 textbooks at a time. Daniel's company prints textbooks in sets of 525 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 360 and 525.
So, LCM of 360 and 525 is 12600.

Ariel exercises every 360 days and Rubel every 525 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 360 and 525 is 12600.

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

Greatest common factors or gcf of 360 and 525 is GCF(360, 525) * LCM(360, 525) = (360 x 525) / GCF(360, 525) = 12600.

Find the least number which is exactly divisible by 360 and 525.

Least number which is exactly divisible by 360 and 525 is 12600.

What is LCM of 360 and 525?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 360 and 525 by Listing Method

Example: Find lcm of 360 and 525 by Listing Method

Steps to find LCM of 360 and 525 by Common Division Method

Example: Find lcm of 360 and 525 by Common Division Method

Steps to find lcm of 360 and 525 by Formula

Example: Find lcm of 360 and 525 by Formula

Examples

What is LCM of 360 and 525?

How to find lcm of two numbers

Definition of LCM

Properties of LCM

Steps to find lcm of 360 and 525 by Listing Method

Example: Find lcm of 360 and 525 by Listing Method

Steps to find LCM of 360 and 525 by Common Division Method

Example: Find lcm of 360 and 525 by Common Division Method

Steps to find lcm of 360 and 525 by Formula

Example: Find lcm of 360 and 525 by Formula

Examples

Recommended

User Also Visited