Least Common Multiple of 645, 4920, 496, 971

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 645, 4920, 496, 971 i.e. 12736335120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 645, 4920, 496, 971 is 12736335120.

LCM(645, 4920, 496, 971) = 12736335120

LCM of 645, 4920, 496, 971

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

LCM of:

Least Common Multiple of 645,4920,496,971

Least Common Multiple (LCM) of 645,4920,496,971 is 12736335120

2 645, 4920, 496, 971
2 645, 2460, 248, 971
2 645, 1230, 124, 971
3 645, 615, 62, 971
5 215, 205, 62, 971
43, 41, 62, 971

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 43 x 41 x 62 x 971 = 12736335120

Least Common Multiple of 645,4920,496,971 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 645,4920,496,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,4920,496,971) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(645,4920,496,971) x common factors =1 x 120 = 120

LCM(645,4920,496,971) = ( 645 × 4920 × 496 × 971 ) / 120

LCM(645,4920,496,971) = 1528360214400 / 120

LCM(645,4920,496,971) = 12736335120

∴ Least Common Multiple of 645,4920,496,971 is 12736335120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 645, 4920, 496, 971

1. What is the LCM of 645, 4920, 496, 971?

Answer: LCM of 645, 4920, 496, 971 is 12736335120.

2. What are the Factors of 12736335120?

Answer: Factors of 12736335120 are . There are integers that are factors of 12736335120

3. How to Find the LCM of 645, 4920, 496, 971 ?

Least Common Multiple of 645, 4920, 496, 971.

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(645, 4920, 496, 971) = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 41 x 43 x 971 = 12736335120.