Least Common Multiple of 252, 297, 462

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 252, 297, 462 i.e. 8316 smallest integer divisible by all numbers.

Least common multiple (LCM) of 252, 297, 462 is 8316.

LCM(252, 297, 462) = 8316

LCM of 252, 297, 462

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

LCM of:

Least Common Multiple of 252,297,462

Least Common Multiple (LCM) of 252,297,462 is 8316

2 252, 297, 462
3 126, 297, 231
3 42, 99, 77
7 14, 33, 77
11 2, 33, 11
2, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 11 x 2 x 3 x 1 = 8316

Least Common Multiple of 252,297,462 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 252,297,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,297,462) = 3

common factors(in case of two or more numbers have common factors) = 1386

GCF(252,297,462) x common factors =3 x 1386 = 4158

LCM(252,297,462) = ( 252 × 297 × 462 ) / 4158

LCM(252,297,462) = 34577928 / 4158

LCM(252,297,462) = 8316

∴ Least Common Multiple of 252,297,462 is 8316

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 252, 297, 462

1. What is the LCM of 252, 297, 462?

Answer: LCM of 252, 297, 462 is 8316.

2. What are the Factors of 8316?

Answer: Factors of 8316 are . There are integers that are factors of 8316

3. How to Find the LCM of 252, 297, 462 ?

Least Common Multiple of 252, 297, 462.

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(252, 297, 462) = 2 x 2 x 3 x 3 x 3 x 7 x 11 = 8316.