Least Common Multiple of 514, 371, 312, 868, 180

Q: How to Find the LCM of 514, 371, 312, 868, 180 ?

Least Common Multiple of 514, 371, 312, 868, 180 = 13832942760 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(514, 371, 312, 868, 180) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 31 x 53 x 257 = 13832942760.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 514, 371, 312, 868, 180 i.e. 13832942760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 514, 371, 312, 868, 180 is 13832942760.

LCM(514, 371, 312, 868, 180) = 13832942760

LCM of 514, 371, 312, 868, 180

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 514, 371, 312, 868, 180 by common division method
Least Common Multiple of 514, 371, 312, 868, 180 with GCF Formula

Least Common Multiple of 514,371,312,868,180

Least Common Multiple (LCM) of 514,371,312,868,180 is 13832942760

2	514, 371, 312, 868, 180
2	257, 371, 156, 434, 90
3	257, 371, 78, 217, 45
7	257, 371, 26, 217, 15
	257, 53, 26, 31, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 257 x 53 x 26 x 31 x 15 = 13832942760

Least Common Multiple of 514,371,312,868,180 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 514,371,312,868,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,371,312,868,180) = 1

common factors(in case of two or more numbers have common factors) = 672

GCF(514,371,312,868,180) x common factors =1 x 672 = 672

LCM(514,371,312,868,180) = ( 514 × 371 × 312 × 868 × 180 ) / 672

LCM(514,371,312,868,180) = 9295737534720 / 672

LCM(514,371,312,868,180) = 13832942760

∴ Least Common Multiple of 514,371,312,868,180 is 13832942760

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 514, 371, 312, 868, 180

1. What is the LCM of 514, 371, 312, 868, 180?

Answer: LCM of 514, 371, 312, 868, 180 is 13832942760.

2. What are the Factors of 13832942760?

Answer: Factors of 13832942760 are . There are integers that are factors of 13832942760

3. How to Find the LCM of 514, 371, 312, 868, 180 ?

Least Common Multiple of 514, 371, 312, 868, 180.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(514, 371, 312, 868, 180) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 31 x 53 x 257 = 13832942760.