Least Common Multiple of 438, 456

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 438, 456 i.e. 33288 smallest integer divisible by all numbers.

Least common multiple (LCM) of 438, 456 is 33288.

LCM(438, 456) = 33288

LCM of 438, 456

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

LCM of:

Least Common Multiple of 438,456

Least Common Multiple (LCM) of 438,456 is 33288

2 438, 456
3 219, 228
73, 76

∴ So the LCM of the given numbers is 2 x 3 x 73 x 76 = 33288

Least Common Multiple of 438,456 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 438,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,456) = 6

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

GCF(438,456) x common factors =6 x 1 = 6

LCM(438,456) = ( 438 × 456 ) / 6

LCM(438,456) = 199728 / 6

LCM(438,456) = 33288

∴ Least Common Multiple of 438,456 is 33288

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 438, 456

1. What is the LCM of 438, 456?

Answer: LCM of 438, 456 is 33288.

2. What are the Factors of 33288?

Answer: Factors of 33288 are . There are integers that are factors of 33288

3. How to Find the LCM of 438, 456 ?

Least Common Multiple of 438, 456.

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(438, 456) = 2 x 2 x 2 x 3 x 19 x 73 = 33288.