What is the LCM of 117 and 130 - 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 130

Properties of LCM

The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(117, 130) = LCM(130, 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 130 is 1170, where 1170 is greater than 117 and 130.

Steps to find lcm of 117 and 130 by Listing Method

Find some first multiples of 117 and 130.
Find the least common multiple, and read off the answer!

Example: Find lcm of 117 and 130 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
Multiples of 130: 130, 260, 390, 520, 650, 780, 910, 1040, 1170, 1300, 1430, 1560, 1690, 1820, 1950, 2080, 2210, 2340, 2470, 2600, 2730, 2860, 2990, 3120, 3250, 3380, 3510, 3640, 3770, 3900, 4030, 4160, 4290, 4420, 4550, 4680, 4810, 4940, 5070, 5200, 5330, 5460, 5590, 5720, 5850, 5980, 6110, 6240, 6370, 6500, 6630, 6760, 6890, 7020, 7150, 7280, 7410, 7540, 7670, 7800, 7930, 8060, 8190, 8320, 8450, 8580, 8710, 8840, 8970, 9100, 9230, 9360, 9490, 9620, 9750, 9880, 10010, 10140, 10270, 10400, 10530, 10660, 10790, 10920, 11050, 11180, 11310, 11440, 11570, 11700, 11830, 11960, 12090, 12220, 12350, 12480, 12610, 12740, 12870, 13000, 13130, 13260, 13390, 13520, 13650, 13780, 13910, 14040, 14170, 14300, 14430, 14560, 14690, 14820, 14950, 15080, 15210

Hence, LCM of 117 and 130 is 1170.

Steps to find LCM of 117 and 130 by Common Division Method

Find all the prime numbers that would divide 117 and 130 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 117 and 130 by Common Division Method

2	117 130
3	117 65
3	39 65
5	13 65
13	13 13
	1 1

Hence, LCM of 117 and 130 is 2 x 3 x 3 x 5 x 13 = 1170.

Steps to find lcm of 117 and 130 by Formula

The formula for LCM is LCM (117, 130) = (117 x 130) / GCF (117, 130)
Apply the formula, and read off the answer!

Example: Find lcm of 117 and 130 by Formula

GCF of 117 and 130 = 13
LCM of 117 and 130 = (117 x 130) / 13
=> 15210 / 13

Hence, LCM of 117 and 130 is 1170.

Examples

Steve spends 117 dollars every day while George spends 130 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 130.
So, LCM of 117 and 130 is 1170.

Boxes that are 117 inches tall are being pilled next to boxes that are 130 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 130.
So, LCM of 117 and 130 is 1170.

Sammy's company prints 117 textbooks at a time. Daniel's company prints textbooks in sets of 130 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 130.
So, LCM of 117 and 130 is 1170.

Ram and Deepika are running on a circular track. They start at the same time. They take 117 and 130 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 130 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 130.
So, LCM of 117 and 130 is 1170.

Find the LCM of 117 and 130 using GCF method.

Greatest common factor or gcf of 117 and 130 is GCF(117, 130) x LCM(117, 130) = (117 x 130) / GCF(117, 130) = 1170.

Find the least common multiple of 117 and 130.

Least common multiple of 117 and 130 is 1170.

Find the least number which is exactly divisible by 117 and 130.

Least number which is exactly divisible by 117 and 130 is 1170.

What is LCM of 117 and 130?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 117 and 130 by Listing Method

Example: Find lcm of 117 and 130 by Listing Method

Steps to find LCM of 117 and 130 by Common Division Method

Example: Find lcm of 117 and 130 by Common Division Method

Steps to find lcm of 117 and 130 by Formula

Example: Find lcm of 117 and 130 by Formula

Examples

What is LCM of 117 and 130?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 117 and 130 by Listing Method

Example: Find lcm of 117 and 130 by Listing Method

Steps to find LCM of 117 and 130 by Common Division Method

Example: Find lcm of 117 and 130 by Common Division Method

Steps to find lcm of 117 and 130 by Formula

Example: Find lcm of 117 and 130 by Formula

Examples

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