Least Common Multiple of 96, 13, 32, 858

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, 13, 32, 858 i.e. 13728 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 13, 32, 858 is 13728.

LCM(96, 13, 32, 858) = 13728

LCM of 96, 13, 32, 858

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

LCM of:

Least Common Multiple of 96,13,32,858

Least Common Multiple (LCM) of 96,13,32,858 is 13728

2 96, 13, 32, 858
2 48, 13, 16, 429
2 24, 13, 8, 429
2 12, 13, 4, 429
2 6, 13, 2, 429
3 3, 13, 1, 429
13 1, 13, 1, 143
1, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 13 x 1 x 1 x 1 x 11 = 13728

Least Common Multiple of 96,13,32,858 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 96,13,32,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,13,32,858) = 1

common factors(in case of two or more numbers have common factors) = 2496

GCF(96,13,32,858) x common factors =1 x 2496 = 2496

LCM(96,13,32,858) = ( 96 × 13 × 32 × 858 ) / 2496

LCM(96,13,32,858) = 34265088 / 2496

LCM(96,13,32,858) = 13728

∴ Least Common Multiple of 96,13,32,858 is 13728

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 96, 13, 32, 858

1. What is the LCM of 96, 13, 32, 858?

Answer: LCM of 96, 13, 32, 858 is 13728.

2. What are the Factors of 13728?

Answer: Factors of 13728 are . There are integers that are factors of 13728

3. How to Find the LCM of 96, 13, 32, 858 ?

Least Common Multiple of 96, 13, 32, 858.

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, 13, 32, 858) = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 = 13728.