Least Common Multiple of 974, 298, 384

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 974, 298, 384 i.e. 27864192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 974, 298, 384 is 27864192.

LCM(974, 298, 384) = 27864192

LCM of 974, 298, 384

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

LCM of:

Least Common Multiple of 974,298,384

Least Common Multiple (LCM) of 974,298,384 is 27864192

2 974, 298, 384
487, 149, 192

∴ So the LCM of the given numbers is 2 x 487 x 149 x 192 = 27864192

Least Common Multiple of 974,298,384 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 974,298,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,298,384) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(974,298,384) x common factors =2 x 2 = 4

LCM(974,298,384) = ( 974 × 298 × 384 ) / 4

LCM(974,298,384) = 111456768 / 4

LCM(974,298,384) = 27864192

∴ Least Common Multiple of 974,298,384 is 27864192

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 974, 298, 384

1. What is the LCM of 974, 298, 384?

Answer: LCM of 974, 298, 384 is 27864192.

2. What are the Factors of 27864192?

Answer: Factors of 27864192 are . There are integers that are factors of 27864192

3. How to Find the LCM of 974, 298, 384 ?

Least Common Multiple of 974, 298, 384.

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(974, 298, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 149 x 487 = 27864192.