Least Common Multiple of 96, 57, 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 96, 57, 456 i.e. 1824 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 57, 456 is 1824.

LCM(96, 57, 456) = 1824

LCM of 96, 57, 456

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

LCM of:

Least Common Multiple of 96,57,456

Least Common Multiple (LCM) of 96,57,456 is 1824

2 96, 57, 456
2 48, 57, 228
2 24, 57, 114
3 12, 57, 57
19 4, 19, 19
4, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 4 x 1 x 1 = 1824

Least Common Multiple of 96,57,456 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 96,57,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,57,456) = 3

common factors(in case of two or more numbers have common factors) = 456

GCF(96,57,456) x common factors =3 x 456 = 1368

LCM(96,57,456) = ( 96 × 57 × 456 ) / 1368

LCM(96,57,456) = 2495232 / 1368

LCM(96,57,456) = 1824

∴ Least Common Multiple of 96,57,456 is 1824

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 96, 57, 456

1. What is the LCM of 96, 57, 456?

Answer: LCM of 96, 57, 456 is 1824.

2. What are the Factors of 1824?

Answer: Factors of 1824 are . There are integers that are factors of 1824

3. How to Find the LCM of 96, 57, 456 ?

Least Common Multiple of 96, 57, 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(96, 57, 456) = 2 x 2 x 2 x 2 x 2 x 3 x 19 = 1824.