Least Common Multiple of 231, 705

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 231, 705 i.e. 54285 smallest integer divisible by all numbers.

Least common multiple (LCM) of 231, 705 is 54285.

LCM(231, 705) = 54285

LCM of 231, 705

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

LCM of:

Least Common Multiple of 231,705

Least Common Multiple (LCM) of 231,705 is 54285

3 231, 705
77, 235

∴ So the LCM of the given numbers is 3 x 77 x 235 = 54285

Least Common Multiple of 231,705 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 231,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,705) = 3

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

GCF(231,705) x common factors =3 x 1 = 3

LCM(231,705) = ( 231 × 705 ) / 3

LCM(231,705) = 162855 / 3

LCM(231,705) = 54285

∴ Least Common Multiple of 231,705 is 54285

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 231, 705

1. What is the LCM of 231, 705?

Answer: LCM of 231, 705 is 54285.

2. What are the Factors of 54285?

Answer: Factors of 54285 are . There are integers that are factors of 54285

3. How to Find the LCM of 231, 705 ?

Least Common Multiple of 231, 705.

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(231, 705) = 3 x 5 x 7 x 11 x 47 = 54285.