Least Common Multiple of 987, 564

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 987, 564 i.e. 3948 smallest integer divisible by all numbers.

Least common multiple (LCM) of 987, 564 is 3948.

LCM(987, 564) = 3948

LCM of 987, 564

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

LCM of:

Least Common Multiple of 987,564

Least Common Multiple (LCM) of 987,564 is 3948

3 987, 564
47 329, 188
7, 4

∴ So the LCM of the given numbers is 3 x 47 x 7 x 4 = 3948

Least Common Multiple of 987,564 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 987,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,564) = 141

common factors(in case of two or more numbers have common factors) = 1

GCF(987,564) x common factors =141 x 1 = 141

LCM(987,564) = ( 987 × 564 ) / 141

LCM(987,564) = 556668 / 141

LCM(987,564) = 3948

∴ Least Common Multiple of 987,564 is 3948

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 987, 564

1. What is the LCM of 987, 564?

Answer: LCM of 987, 564 is 3948.

2. What are the Factors of 3948?

Answer: Factors of 3948 are . There are integers that are factors of 3948

3. How to Find the LCM of 987, 564 ?

Least Common Multiple of 987, 564.

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(987, 564) = 2 x 2 x 3 x 7 x 47 = 3948.