Least Common Multiple of 96, 52, 101, 975

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, 52, 101, 975 i.e. 3151200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 52, 101, 975 is 3151200.

LCM(96, 52, 101, 975) = 3151200

LCM of 96, 52, 101, 975

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

LCM of:

Least Common Multiple of 96,52,101,975

Least Common Multiple (LCM) of 96,52,101,975 is 3151200

2 96, 52, 101, 975
2 48, 26, 101, 975
3 24, 13, 101, 975
13 8, 13, 101, 325
8, 1, 101, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 8 x 1 x 101 x 25 = 3151200

Least Common Multiple of 96,52,101,975 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 96,52,101,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,52,101,975) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(96,52,101,975) x common factors =1 x 156 = 156

LCM(96,52,101,975) = ( 96 × 52 × 101 × 975 ) / 156

LCM(96,52,101,975) = 491587200 / 156

LCM(96,52,101,975) = 3151200

∴ Least Common Multiple of 96,52,101,975 is 3151200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 96, 52, 101, 975

1. What is the LCM of 96, 52, 101, 975?

Answer: LCM of 96, 52, 101, 975 is 3151200.

2. What are the Factors of 3151200?

Answer: Factors of 3151200 are . There are integers that are factors of 3151200

3. How to Find the LCM of 96, 52, 101, 975 ?

Least Common Multiple of 96, 52, 101, 975.

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, 52, 101, 975) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 101 = 3151200.