Least Common Multiple of 96, 36, 57, 872

Q: How to Find the LCM of 96, 36, 57, 872 ?

Least Common Multiple of 96, 36, 57, 872 = 596448 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, 36, 57, 872) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 109 = 596448.

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, 36, 57, 872 i.e. 596448 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 36, 57, 872 is 596448.

LCM(96, 36, 57, 872) = 596448

LCM of 96, 36, 57, 872

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

Least Common Multiple of 96, 36, 57, 872 by common division method
Least Common Multiple of 96, 36, 57, 872 with GCF Formula

Least Common Multiple of 96,36,57,872

Least Common Multiple (LCM) of 96,36,57,872 is 596448

2	96, 36, 57, 872
2	48, 18, 57, 436
2	24, 9, 57, 218
3	12, 9, 57, 109
	4, 3, 19, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 3 x 19 x 109 = 596448

Least Common Multiple of 96,36,57,872 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 96,36,57,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,36,57,872) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(96,36,57,872) x common factors =1 x 288 = 288

LCM(96,36,57,872) = ( 96 × 36 × 57 × 872 ) / 288

LCM(96,36,57,872) = 171777024 / 288

LCM(96,36,57,872) = 596448

∴ Least Common Multiple of 96,36,57,872 is 596448

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, 36, 57, 872

1. What is the LCM of 96, 36, 57, 872?

Answer: LCM of 96, 36, 57, 872 is 596448.

2. What are the Factors of 596448?

Answer: Factors of 596448 are . There are integers that are factors of 596448

3. How to Find the LCM of 96, 36, 57, 872 ?

Least Common Multiple of 96, 36, 57, 872.

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, 36, 57, 872) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 109 = 596448.