Least Common Multiple of 21, 57, 14, 987

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 21, 57, 14, 987 i.e. 37506 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 57, 14, 987 is 37506.

LCM(21, 57, 14, 987) = 37506

LCM of 21, 57, 14, 987

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

LCM of:

Least Common Multiple of 21,57,14,987

Least Common Multiple (LCM) of 21,57,14,987 is 37506

3 21, 57, 14, 987
7 7, 19, 14, 329
1, 19, 2, 47

∴ So the LCM of the given numbers is 3 x 7 x 1 x 19 x 2 x 47 = 37506

Least Common Multiple of 21,57,14,987 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 21,57,14,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,57,14,987) = 1

common factors(in case of two or more numbers have common factors) = 441

GCF(21,57,14,987) x common factors =1 x 441 = 441

LCM(21,57,14,987) = ( 21 × 57 × 14 × 987 ) / 441

LCM(21,57,14,987) = 16540146 / 441

LCM(21,57,14,987) = 37506

∴ Least Common Multiple of 21,57,14,987 is 37506

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 57, 14, 987

1. What is the LCM of 21, 57, 14, 987?

Answer: LCM of 21, 57, 14, 987 is 37506.

2. What are the Factors of 37506?

Answer: Factors of 37506 are . There are integers that are factors of 37506

3. How to Find the LCM of 21, 57, 14, 987 ?

Least Common Multiple of 21, 57, 14, 987.

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(21, 57, 14, 987) = 2 x 3 x 7 x 19 x 47 = 37506.