Least Common Multiple of 306, 135, 323

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 306, 135, 323 i.e. 87210 smallest integer divisible by all numbers.

Least common multiple (LCM) of 306, 135, 323 is 87210.

LCM(306, 135, 323) = 87210

LCM of 306, 135, 323

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

LCM of:

Least Common Multiple of 306,135,323

Least Common Multiple (LCM) of 306,135,323 is 87210

3 306, 135, 323
3 102, 45, 323
17 34, 15, 323
2, 15, 19

∴ So the LCM of the given numbers is 3 x 3 x 17 x 2 x 15 x 19 = 87210

Least Common Multiple of 306,135,323 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 306,135,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,135,323) = 1

common factors(in case of two or more numbers have common factors) = 153

GCF(306,135,323) x common factors =1 x 153 = 153

LCM(306,135,323) = ( 306 × 135 × 323 ) / 153

LCM(306,135,323) = 13343130 / 153

LCM(306,135,323) = 87210

∴ Least Common Multiple of 306,135,323 is 87210

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 306, 135, 323

1. What is the LCM of 306, 135, 323?

Answer: LCM of 306, 135, 323 is 87210.

2. What are the Factors of 87210?

Answer: Factors of 87210 are . There are integers that are factors of 87210

3. How to Find the LCM of 306, 135, 323 ?

Least Common Multiple of 306, 135, 323.

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(306, 135, 323) = 2 x 3 x 3 x 3 x 5 x 17 x 19 = 87210.