What is the LCM of 117 and 221 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 117 and 221

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(117, 221) = LCM(221, 117).
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 117 and 221 is 1989, where 1989 is greater than 117 and 221.

Steps to find lcm of 117 and 221 by Listing Method

Find some first multiples of 117 and 221.
Find the least common multiple, and read off the answer!

Example: Find lcm of 117 and 221 by Listing Method

Multiples of 117: 117, 234, 351, 468, 585, 702, 819, 936, 1053, 1170, 1287, 1404, 1521, 1638, 1755, 1872, 1989, 2106, 2223, 2340, 2457, 2574, 2691, 2808, 2925, 3042, 3159, 3276, 3393, 3510, 3627, 3744, 3861, 3978, 4095, 4212, 4329, 4446, 4563, 4680, 4797, 4914, 5031, 5148, 5265, 5382, 5499, 5616, 5733, 5850, 5967, 6084, 6201, 6318, 6435, 6552, 6669, 6786, 6903, 7020, 7137, 7254, 7371, 7488, 7605, 7722, 7839, 7956, 8073, 8190, 8307, 8424, 8541, 8658, 8775, 8892, 9009, 9126, 9243, 9360, 9477, 9594, 9711, 9828, 9945, 10062, 10179, 10296, 10413, 10530, 10647, 10764, 10881, 10998, 11115, 11232, 11349, 11466, 11583, 11700, 11817, 11934, 12051, 12168, 12285, 12402, 12519, 12636, 12753, 12870, 12987, 13104, 13221, 13338, 13455, 13572, 13689, 13806, 13923, 14040, 14157, 14274, 14391, 14508, 14625, 14742, 14859, 14976, 15093, 15210, 15327, 15444, 15561, 15678, 15795, 15912, 16029, 16146, 16263, 16380, 16497, 16614, 16731, 16848, 16965, 17082, 17199, 17316, 17433, 17550, 17667, 17784, 17901, 18018, 18135, 18252, 18369, 18486, 18603, 18720, 18837, 18954, 19071, 19188, 19305, 19422, 19539, 19656, 19773, 19890, 20007, 20124, 20241, 20358, 20475, 20592, 20709, 20826, 20943, 21060, 21177, 21294, 21411, 21528, 21645, 21762, 21879, 21996, 22113, 22230, 22347, 22464, 22581, 22698, 22815, 22932, 23049, 23166, 23283, 23400, 23517, 23634, 23751, 23868, 23985, 24102, 24219, 24336, 24453, 24570, 24687, 24804, 24921, 25038, 25155, 25272, 25389, 25506, 25623, 25740, 25857
Multiples of 221: 221, 442, 663, 884, 1105, 1326, 1547, 1768, 1989, 2210, 2431, 2652, 2873, 3094, 3315, 3536, 3757, 3978, 4199, 4420, 4641, 4862, 5083, 5304, 5525, 5746, 5967, 6188, 6409, 6630, 6851, 7072, 7293, 7514, 7735, 7956, 8177, 8398, 8619, 8840, 9061, 9282, 9503, 9724, 9945, 10166, 10387, 10608, 10829, 11050, 11271, 11492, 11713, 11934, 12155, 12376, 12597, 12818, 13039, 13260, 13481, 13702, 13923, 14144, 14365, 14586, 14807, 15028, 15249, 15470, 15691, 15912, 16133, 16354, 16575, 16796, 17017, 17238, 17459, 17680, 17901, 18122, 18343, 18564, 18785, 19006, 19227, 19448, 19669, 19890, 20111, 20332, 20553, 20774, 20995, 21216, 21437, 21658, 21879, 22100, 22321, 22542, 22763, 22984, 23205, 23426, 23647, 23868, 24089, 24310, 24531, 24752, 24973, 25194, 25415, 25636, 25857

Hence, LCM of 117 and 221 is 1989.

Steps to find LCM of 117 and 221 by Common Division Method

Find all the prime numbers that would divide 117 and 221 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 117 and 221 by Common Division Method

3	117 221
3	39 221
13	13 221
17	1 17
	1 1

Hence, LCM of 117 and 221 is 3 x 3 x 13 x 17 = 1989.

Steps to find lcm of 117 and 221 by Formula

The formula for LCM is LCM (117, 221) = (117 x 221) / GCF (117, 221)
Apply the formula, and read off the answer!

Example: Find lcm of 117 and 221 by Formula

GCF of 117 and 221 = 13
LCM of 117 and 221 = (117 x 221) / 13
=> 25857 / 13

Hence, LCM of 117 and 221 is 1989.

Examples

Steve spends 117 dollars every day while George spends 221 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 117 and 221.
So, LCM of 117 and 221 is 1989.

Boxes that are 117 inches tall are being pilled next to boxes that are 221 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 117 and 221.
So, LCM of 117 and 221 is 1989.

Sammy's company prints 117 textbooks at a time. Daniel's company prints textbooks in sets of 221 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 117 and 221.
So, LCM of 117 and 221 is 1989.

Ram and Deepika are running on a circular track. They start at the same time. They take 117 and 221 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 117 and 221 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 117 and 221.
So, LCM of 117 and 221 is 1989.

Find the LCM of 117 and 221 using GCF method.

Greatest common factor or gcf of 117 and 221 is GCF(117, 221) x LCM(117, 221) = (117 x 221) / GCF(117, 221) = 1989.

Find the least common multiple of 117 and 221.

Least common multiple of 117 and 221 is 1989.

Find the least number which is exactly divisible by 117 and 221.

Least number which is exactly divisible by 117 and 221 is 1989.

What is LCM of 117 and 221?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 117 and 221 by Listing Method

Example: Find lcm of 117 and 221 by Listing Method

Steps to find LCM of 117 and 221 by Common Division Method

Example: Find lcm of 117 and 221 by Common Division Method

Steps to find lcm of 117 and 221 by Formula

Example: Find lcm of 117 and 221 by Formula

Examples

What is LCM of 117 and 221?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 117 and 221 by Listing Method

Example: Find lcm of 117 and 221 by Listing Method

Steps to find LCM of 117 and 221 by Common Division Method

Example: Find lcm of 117 and 221 by Common Division Method

Steps to find lcm of 117 and 221 by Formula

Example: Find lcm of 117 and 221 by Formula

Examples

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