Least Common Multiple of 20, 252, 315

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 20, 252, 315 i.e. 1260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 252, 315 is 1260.

LCM(20, 252, 315) = 1260

LCM of 20, 252, 315

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

LCM of:

Least Common Multiple of 20,252,315

Least Common Multiple (LCM) of 20,252,315 is 1260

2 20, 252, 315
2 10, 126, 315
3 5, 63, 315
3 5, 21, 105
5 5, 7, 35
7 1, 7, 7
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 7 x 1 x 1 x 1 = 1260

Least Common Multiple of 20,252,315 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 20,252,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,252,315) = 1

common factors(in case of two or more numbers have common factors) = 1260

GCF(20,252,315) x common factors =1 x 1260 = 1260

LCM(20,252,315) = ( 20 × 252 × 315 ) / 1260

LCM(20,252,315) = 1587600 / 1260

LCM(20,252,315) = 1260

∴ Least Common Multiple of 20,252,315 is 1260

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 20, 252, 315

1. What is the LCM of 20, 252, 315?

Answer: LCM of 20, 252, 315 is 1260.

2. What are the Factors of 1260?

Answer: Factors of 1260 are . There are integers that are factors of 1260

3. How to Find the LCM of 20, 252, 315 ?

Least Common Multiple of 20, 252, 315.

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(20, 252, 315) = 2 x 2 x 3 x 3 x 5 x 7 = 1260.