What is the LCM of 284 and 41 - 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 284 and 41.

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 284 and 41 is 11644, where 284 and 41 are less than 11644.
LCM is associative which means LCM(284, 41) = LCM(41, 284).
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 284 and 41 by Listing Method

Find some first multiples of 284 and 41.
Find the least common multiple, and read off the answer!

Example: Find lcm of 284 and 41 by Listing Method

Multiples of 284: 284, 568, 852, 1136, 1420, 1704, 1988, 2272, 2556, 2840, 3124, 3408, 3692, 3976, 4260, 4544, 4828, 5112, 5396, 5680, 5964, 6248, 6532, 6816, 7100, 7384, 7668, 7952, 8236, 8520, 8804, 9088, 9372, 9656, 9940, 10224, 10508, 10792, 11076, 11360, 11644
Multiples of 41: 41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312, 1353, 1394, 1435, 1476, 1517, 1558, 1599, 1640, 1681, 1722, 1763, 1804, 1845, 1886, 1927, 1968, 2009, 2050, 2091, 2132, 2173, 2214, 2255, 2296, 2337, 2378, 2419, 2460, 2501, 2542, 2583, 2624, 2665, 2706, 2747, 2788, 2829, 2870, 2911, 2952, 2993, 3034, 3075, 3116, 3157, 3198, 3239, 3280, 3321, 3362, 3403, 3444, 3485, 3526, 3567, 3608, 3649, 3690, 3731, 3772, 3813, 3854, 3895, 3936, 3977, 4018, 4059, 4100, 4141, 4182, 4223, 4264, 4305, 4346, 4387, 4428, 4469, 4510, 4551, 4592, 4633, 4674, 4715, 4756, 4797, 4838, 4879, 4920, 4961, 5002, 5043, 5084, 5125, 5166, 5207, 5248, 5289, 5330, 5371, 5412, 5453, 5494, 5535, 5576, 5617, 5658, 5699, 5740, 5781, 5822, 5863, 5904, 5945, 5986, 6027, 6068, 6109, 6150, 6191, 6232, 6273, 6314, 6355, 6396, 6437, 6478, 6519, 6560, 6601, 6642, 6683, 6724, 6765, 6806, 6847, 6888, 6929, 6970, 7011, 7052, 7093, 7134, 7175, 7216, 7257, 7298, 7339, 7380, 7421, 7462, 7503, 7544, 7585, 7626, 7667, 7708, 7749, 7790, 7831, 7872, 7913, 7954, 7995, 8036, 8077, 8118, 8159, 8200, 8241, 8282, 8323, 8364, 8405, 8446, 8487, 8528, 8569, 8610, 8651, 8692, 8733, 8774, 8815, 8856, 8897, 8938, 8979, 9020, 9061, 9102, 9143, 9184, 9225, 9266, 9307, 9348, 9389, 9430, 9471, 9512, 9553, 9594, 9635, 9676, 9717, 9758, 9799, 9840, 9881, 9922, 9963, 10004, 10045, 10086, 10127, 10168, 10209, 10250, 10291, 10332, 10373, 10414, 10455, 10496, 10537, 10578, 10619, 10660, 10701, 10742, 10783, 10824, 10865, 10906, 10947, 10988, 11029, 11070, 11111, 11152, 11193, 11234, 11275, 11316, 11357, 11398, 11439, 11480, 11521, 11562, 11603, 11644

Hence, LCM of 284 and 41 is 11644.

Steps to find LCM of 284 and 41 by Common Division Method

Find all the prime numbers that would divide 284 and 41 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 284 and 41 by Common Division Method

2	284 41
2	142 41
41	71 41
71	71 1
	1 1

Hence, LCM of 284 and 41 is 2 x 2 x 41 x 71 = 11644.

Steps to find lcm of 284 and 41 by Formula

The formula for LCM is LCM (284, 41) = (284 x 41) / GCF (284, 41)
Apply the formula, and read off the answer!

Example: Find lcm of 284 and 41 by Formula

GCF of 284 and 41 = 1
LCM of 284 and 41 = (284 x 41) / 1
=> 11644 / 1

Hence, LCM of 284 and 41 is 11644.

Examples

Ram and Deepika are running on a circular track. They start at the same time. They take 284 and 41 minutes respectively to go round once. Find at what time they will run together?

Ram and Deepika are running on a circular track. They take 284 and 41 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 284 and 41.
So, LCM of 284 and 41 is 11644.

A shopkeeper sells candies in packet of 284 and chocolates in packet of 41. 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 284 and 41.
So, LCM of 284 and 41 is 11644.

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

Greatest common factors or gcf of 284 and 41 is GCF(284, 41) * LCM(284, 41) = (284 x 41) / GCF(284, 41) = 11644.

Sammy's company prints 284 textbooks at a time. Daniel's company prints textbooks in sets of 41 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 284 and 41.
So, LCM of 284 and 41 is 11644.

Mary exercises every 284 days and Nikki every 41 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 284 and 41 is 11644.

Find the least common multiple of 284 and 41.

Least common multiple of 284 and 41 is 11644.

Find the least number which is exactly divisible by 284 and 41.

Least number which is exactly divisible by 284 and 41 is 11644.

What is LCM of 284 and 41?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 284 and 41 by Listing Method

Example: Find lcm of 284 and 41 by Listing Method

Steps to find LCM of 284 and 41 by Common Division Method

Example: Find lcm of 284 and 41 by Common Division Method

Steps to find lcm of 284 and 41 by Formula

Example: Find lcm of 284 and 41 by Formula

Examples

What is LCM of 284 and 41?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 284 and 41 by Listing Method

Example: Find lcm of 284 and 41 by Listing Method

Steps to find LCM of 284 and 41 by Common Division Method

Example: Find lcm of 284 and 41 by Common Division Method

Steps to find lcm of 284 and 41 by Formula

Example: Find lcm of 284 and 41 by Formula

Examples

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