Least Common Multiple of 21, 88, 15, 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 21, 88, 15, 858 i.e. 120120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 88, 15, 858 is 120120.

LCM(21, 88, 15, 858) = 120120

LCM of 21, 88, 15, 858

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

LCM of:

Least Common Multiple of 21,88,15,858

Least Common Multiple (LCM) of 21,88,15,858 is 120120

2 21, 88, 15, 858
3 21, 44, 15, 429
11 7, 44, 5, 143
7, 4, 5, 13

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 4 x 5 x 13 = 120120

Least Common Multiple of 21,88,15,858 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 21,88,15,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,88,15,858) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(21,88,15,858) x common factors =1 x 198 = 198

LCM(21,88,15,858) = ( 21 × 88 × 15 × 858 ) / 198

LCM(21,88,15,858) = 23783760 / 198

LCM(21,88,15,858) = 120120

∴ Least Common Multiple of 21,88,15,858 is 120120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 88, 15, 858

1. What is the LCM of 21, 88, 15, 858?

Answer: LCM of 21, 88, 15, 858 is 120120.

2. What are the Factors of 120120?

Answer: Factors of 120120 are . There are integers that are factors of 120120

3. How to Find the LCM of 21, 88, 15, 858 ?

Least Common Multiple of 21, 88, 15, 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(21, 88, 15, 858) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 = 120120.