Least Common Multiple of 324, 460

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 324, 460 i.e. 37260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 324, 460 is 37260.

LCM(324, 460) = 37260

LCM of 324, 460

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

LCM of:

Least Common Multiple of 324,460

Least Common Multiple (LCM) of 324,460 is 37260

2 324, 460
2 162, 230
81, 115

∴ So the LCM of the given numbers is 2 x 2 x 81 x 115 = 37260

Least Common Multiple of 324,460 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 324,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,460) = 4

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

GCF(324,460) x common factors =4 x 1 = 4

LCM(324,460) = ( 324 × 460 ) / 4

LCM(324,460) = 149040 / 4

LCM(324,460) = 37260

∴ Least Common Multiple of 324,460 is 37260

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 324, 460

1. What is the LCM of 324, 460?

Answer: LCM of 324, 460 is 37260.

2. What are the Factors of 37260?

Answer: Factors of 37260 are . There are integers that are factors of 37260

3. How to Find the LCM of 324, 460 ?

Least Common Multiple of 324, 460.

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(324, 460) = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 23 = 37260.