Least Common Multiple of 126, 920, 980, 744, 345

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 126, 920, 980, 744, 345 i.e. 12577320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 126, 920, 980, 744, 345 is 12577320.

LCM(126, 920, 980, 744, 345) = 12577320

LCM of 126, 920, 980, 744, 345

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

LCM of:

Least Common Multiple of 126,920,980,744,345

Least Common Multiple (LCM) of 126,920,980,744,345 is 12577320

2 126, 920, 980, 744, 345
2 63, 460, 490, 372, 345
2 63, 230, 245, 186, 345
3 63, 115, 245, 93, 345
5 21, 115, 245, 31, 115
7 21, 23, 49, 31, 23
23 3, 23, 7, 31, 23
3, 1, 7, 31, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 7 x 23 x 3 x 1 x 7 x 31 x 1 = 12577320

Least Common Multiple of 126,920,980,744,345 with GCF Formula

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

We need to calculate greatest common factor of 126,920,980,744,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,920,980,744,345) = 1

common factors(in case of two or more numbers have common factors) = 2318400

GCF(126,920,980,744,345) x common factors =1 x 2318400 = 2318400

LCM(126,920,980,744,345) = ( 126 × 920 × 980 × 744 × 345 ) / 2318400

LCM(126,920,980,744,345) = 29159258688000 / 2318400

LCM(126,920,980,744,345) = 12577320

∴ Least Common Multiple of 126,920,980,744,345 is 12577320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 126, 920, 980, 744, 345

1. What is the LCM of 126, 920, 980, 744, 345?

Answer: LCM of 126, 920, 980, 744, 345 is 12577320.

2. What are the Factors of 12577320?

Answer: Factors of 12577320 are . There are integers that are factors of 12577320

3. How to Find the LCM of 126, 920, 980, 744, 345 ?

Least Common Multiple of 126, 920, 980, 744, 345.

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(126, 920, 980, 744, 345) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 23 x 31 = 12577320.