Least Common Multiple of 21, 58, 58, 114

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, 58, 58, 114 i.e. 23142 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 58, 58, 114 is 23142.

LCM(21, 58, 58, 114) = 23142

LCM of 21, 58, 58, 114

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

LCM of:

Least Common Multiple of 21,58,58,114

Least Common Multiple (LCM) of 21,58,58,114 is 23142

2 21, 58, 58, 114
3 21, 29, 29, 57
29 7, 29, 29, 19
7, 1, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 1 x 1 x 19 = 23142

Least Common Multiple of 21,58,58,114 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 21,58,58,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,58,114) = 1

common factors(in case of two or more numbers have common factors) = 348

GCF(21,58,58,114) x common factors =1 x 348 = 348

LCM(21,58,58,114) = ( 21 × 58 × 58 × 114 ) / 348

LCM(21,58,58,114) = 8053416 / 348

LCM(21,58,58,114) = 23142

∴ Least Common Multiple of 21,58,58,114 is 23142

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 58, 58, 114

1. What is the LCM of 21, 58, 58, 114?

Answer: LCM of 21, 58, 58, 114 is 23142.

2. What are the Factors of 23142?

Answer: Factors of 23142 are . There are integers that are factors of 23142

3. How to Find the LCM of 21, 58, 58, 114 ?

Least Common Multiple of 21, 58, 58, 114.

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, 58, 58, 114) = 2 x 3 x 7 x 19 x 29 = 23142.