What is the LCM of 294 and 182 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 294 and 182.

Properties of LCM

LCM follows associative property, that means LCM(294, 182) = LCM(182, 294).
LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 294 and 182 is 3822, where 294 and 182 are less than 3822.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 294 and 182 by Listing Method

Find some first multiples of 294 and 182.
Find the least common multiple, and read off the answer!

Example: Find lcm of 294 and 182 by Listing Method

Multiples of 294: 294, 588, 882, 1176, 1470, 1764, 2058, 2352, 2646, 2940, 3234, 3528, 3822, 4116, 4410, 4704, 4998, 5292, 5586, 5880, 6174, 6468, 6762, 7056, 7350, 7644, 7938, 8232, 8526, 8820, 9114, 9408, 9702, 9996, 10290, 10584, 10878, 11172, 11466, 11760, 12054, 12348, 12642, 12936, 13230, 13524, 13818, 14112, 14406, 14700, 14994, 15288, 15582, 15876, 16170, 16464, 16758, 17052, 17346, 17640, 17934, 18228, 18522, 18816, 19110, 19404, 19698, 19992, 20286, 20580, 20874, 21168, 21462, 21756, 22050, 22344, 22638, 22932, 23226, 23520, 23814, 24108, 24402, 24696, 24990, 25284, 25578, 25872, 26166, 26460, 26754, 27048, 27342, 27636, 27930, 28224, 28518, 28812, 29106, 29400, 29694, 29988, 30282, 30576, 30870, 31164, 31458, 31752, 32046, 32340, 32634, 32928, 33222, 33516, 33810, 34104, 34398, 34692, 34986, 35280, 35574, 35868, 36162, 36456, 36750, 37044, 37338, 37632, 37926, 38220, 38514, 38808, 39102, 39396, 39690, 39984, 40278, 40572, 40866, 41160, 41454, 41748, 42042, 42336, 42630, 42924, 43218, 43512, 43806, 44100, 44394, 44688, 44982, 45276, 45570, 45864, 46158, 46452, 46746, 47040, 47334, 47628, 47922, 48216, 48510, 48804, 49098, 49392, 49686, 49980, 50274, 50568, 50862, 51156, 51450, 51744, 52038, 52332, 52626, 52920, 53214, 53508
Multiples of 182: 182, 364, 546, 728, 910, 1092, 1274, 1456, 1638, 1820, 2002, 2184, 2366, 2548, 2730, 2912, 3094, 3276, 3458, 3640, 3822, 4004, 4186, 4368, 4550, 4732, 4914, 5096, 5278, 5460, 5642, 5824, 6006, 6188, 6370, 6552, 6734, 6916, 7098, 7280, 7462, 7644, 7826, 8008, 8190, 8372, 8554, 8736, 8918, 9100, 9282, 9464, 9646, 9828, 10010, 10192, 10374, 10556, 10738, 10920, 11102, 11284, 11466, 11648, 11830, 12012, 12194, 12376, 12558, 12740, 12922, 13104, 13286, 13468, 13650, 13832, 14014, 14196, 14378, 14560, 14742, 14924, 15106, 15288, 15470, 15652, 15834, 16016, 16198, 16380, 16562, 16744, 16926, 17108, 17290, 17472, 17654, 17836, 18018, 18200, 18382, 18564, 18746, 18928, 19110, 19292, 19474, 19656, 19838, 20020, 20202, 20384, 20566, 20748, 20930, 21112, 21294, 21476, 21658, 21840, 22022, 22204, 22386, 22568, 22750, 22932, 23114, 23296, 23478, 23660, 23842, 24024, 24206, 24388, 24570, 24752, 24934, 25116, 25298, 25480, 25662, 25844, 26026, 26208, 26390, 26572, 26754, 26936, 27118, 27300, 27482, 27664, 27846, 28028, 28210, 28392, 28574, 28756, 28938, 29120, 29302, 29484, 29666, 29848, 30030, 30212, 30394, 30576, 30758, 30940, 31122, 31304, 31486, 31668, 31850, 32032, 32214, 32396, 32578, 32760, 32942, 33124, 33306, 33488, 33670, 33852, 34034, 34216, 34398, 34580, 34762, 34944, 35126, 35308, 35490, 35672, 35854, 36036, 36218, 36400, 36582, 36764, 36946, 37128, 37310, 37492, 37674, 37856, 38038, 38220, 38402, 38584, 38766, 38948, 39130, 39312, 39494, 39676, 39858, 40040, 40222, 40404, 40586, 40768, 40950, 41132, 41314, 41496, 41678, 41860, 42042, 42224, 42406, 42588, 42770, 42952, 43134, 43316, 43498, 43680, 43862, 44044, 44226, 44408, 44590, 44772, 44954, 45136, 45318, 45500, 45682, 45864, 46046, 46228, 46410, 46592, 46774, 46956, 47138, 47320, 47502, 47684, 47866, 48048, 48230, 48412, 48594, 48776, 48958, 49140, 49322, 49504, 49686, 49868, 50050, 50232, 50414, 50596, 50778, 50960, 51142, 51324, 51506, 51688, 51870, 52052, 52234, 52416, 52598, 52780, 52962, 53144, 53326, 53508

Hence, LCM of 294 and 182 is 3822.

Steps to find LCM of 294 and 182 by Common Division Method

Find all the prime numbers that would divide 294 and 182 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 294 and 182 by Common Division Method

2	294 182
3	147 91
7	49 91
7	7 13
13	1 13
	1 1

Hence, LCM of 294 and 182 is 2 x 3 x 7 x 7 x 13 = 3822.

Steps to find lcm of 294 and 182 by Formula

The formula for LCM is LCM (294, 182) = (294 x 182) / GCF (294, 182)
Apply the formula, and read off the answer!

Example: Find lcm of 294 and 182 by Formula

GCF of 294 and 182 = 14
LCM of 294 and 182 = (294 x 182) / 14
=> 53508 / 14

Hence, LCM of 294 and 182 is 3822.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 294 and 182 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 294 and 182 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 294 and 182.
So, LCM of 294 and 182 is 3822.

A shopkeeper sells candies in packet of 294 and chocolates in packet of 182. 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 294 and 182.
So, LCM of 294 and 182 is 3822.

Both the cricket team and the rugby team had games, today. The cricket team plays every 294 days and the basketball team plays every 182 days. When will both teams have games on the same day again?

Given that the cricket team plays every 294 days and the basketball team plays every 182 days, so for finding the next time when both teams will play again we need to find the LCM of 294 and 182.
So, LCM of 294 and 182 is 3822.

Freddy saves 294 dollars every day while Nikki saves 182 dollars every day. What is the least number of days it will take each person to save the same amount of money?

To find the least number of days that would be taken to be able to save the same amount of dollars we need to find the LCM of 294 and 182.
So, LCM of 294 and 182 is 3822.

Boxes that are 294 inches tall are being pilled next to boxes that are 182 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 294 and 182.
So, LCM of 294 and 182 is 3822.

Sammy's company prints 294 textbooks at a time. Daniel's company prints textbooks in sets of 182 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 294 and 182.
So, LCM of 294 and 182 is 3822.

Ariel exercises every 294 days and Rubel every 182 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 294 and 182 is 3822.

What is LCM of 294 and 182?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 294 and 182 by Listing Method

Example: Find lcm of 294 and 182 by Listing Method

Steps to find LCM of 294 and 182 by Common Division Method

Example: Find lcm of 294 and 182 by Common Division Method

Steps to find lcm of 294 and 182 by Formula

Example: Find lcm of 294 and 182 by Formula

Examples

What is LCM of 294 and 182?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 294 and 182 by Listing Method

Example: Find lcm of 294 and 182 by Listing Method

Steps to find LCM of 294 and 182 by Common Division Method

Example: Find lcm of 294 and 182 by Common Division Method

Steps to find lcm of 294 and 182 by Formula

Example: Find lcm of 294 and 182 by Formula

Examples

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