Least Common Multiple of 54, 96, 32, 165

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 54, 96, 32, 165 i.e. 47520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 96, 32, 165 is 47520.

LCM(54, 96, 32, 165) = 47520

LCM of 54, 96, 32, 165

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

LCM of:

Least Common Multiple of 54,96,32,165

Least Common Multiple (LCM) of 54,96,32,165 is 47520

2 54, 96, 32, 165
2 27, 48, 16, 165
2 27, 24, 8, 165
2 27, 12, 4, 165
2 27, 6, 2, 165
3 27, 3, 1, 165
9, 1, 1, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 9 x 1 x 1 x 55 = 47520

Least Common Multiple of 54,96,32,165 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 54,96,32,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,96,32,165) = 1

common factors(in case of two or more numbers have common factors) = 576

GCF(54,96,32,165) x common factors =1 x 576 = 576

LCM(54,96,32,165) = ( 54 × 96 × 32 × 165 ) / 576

LCM(54,96,32,165) = 27371520 / 576

LCM(54,96,32,165) = 47520

∴ Least Common Multiple of 54,96,32,165 is 47520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 54, 96, 32, 165

1. What is the LCM of 54, 96, 32, 165?

Answer: LCM of 54, 96, 32, 165 is 47520.

2. What are the Factors of 47520?

Answer: Factors of 47520 are . There are integers that are factors of 47520

3. How to Find the LCM of 54, 96, 32, 165 ?

Least Common Multiple of 54, 96, 32, 165.

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(54, 96, 32, 165) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 = 47520.