Least Common Multiple of 971, 909, 744

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 971, 909, 744 i.e. 218894472 smallest integer divisible by all numbers.

Least common multiple (LCM) of 971, 909, 744 is 218894472.

LCM(971, 909, 744) = 218894472

LCM of 971, 909, 744

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

LCM of:

Least Common Multiple of 971,909,744

Least Common Multiple (LCM) of 971,909,744 is 218894472

3 971, 909, 744
971, 303, 248

∴ So the LCM of the given numbers is 3 x 971 x 303 x 248 = 218894472

Least Common Multiple of 971,909,744 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 971,909,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,909,744) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(971,909,744) x common factors =1 x 3 = 3

LCM(971,909,744) = ( 971 × 909 × 744 ) / 3

LCM(971,909,744) = 656683416 / 3

LCM(971,909,744) = 218894472

∴ Least Common Multiple of 971,909,744 is 218894472

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 971, 909, 744

1. What is the LCM of 971, 909, 744?

Answer: LCM of 971, 909, 744 is 218894472.

2. What are the Factors of 218894472?

Answer: Factors of 218894472 are . There are integers that are factors of 218894472

3. How to Find the LCM of 971, 909, 744 ?

Least Common Multiple of 971, 909, 744.

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(971, 909, 744) = 2 x 2 x 2 x 3 x 3 x 31 x 101 x 971 = 218894472.