Least Common Multiple of 132, 243, 306

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 132, 243, 306 i.e. 181764 smallest integer divisible by all numbers.

Least common multiple (LCM) of 132, 243, 306 is 181764.

LCM(132, 243, 306) = 181764

LCM of 132, 243, 306

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

LCM of:

Least Common Multiple of 132,243,306

Least Common Multiple (LCM) of 132,243,306 is 181764

2 132, 243, 306
3 66, 243, 153
3 22, 81, 51
22, 27, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 22 x 27 x 17 = 181764

Least Common Multiple of 132,243,306 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 132,243,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,243,306) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(132,243,306) x common factors =3 x 18 = 54

LCM(132,243,306) = ( 132 × 243 × 306 ) / 54

LCM(132,243,306) = 9815256 / 54

LCM(132,243,306) = 181764

∴ Least Common Multiple of 132,243,306 is 181764

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 132, 243, 306

1. What is the LCM of 132, 243, 306?

Answer: LCM of 132, 243, 306 is 181764.

2. What are the Factors of 181764?

Answer: Factors of 181764 are . There are integers that are factors of 181764

3. How to Find the LCM of 132, 243, 306 ?

Least Common Multiple of 132, 243, 306.

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(132, 243, 306) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 17 = 181764.