Least Common Multiple of 58, 21, 428

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 58, 21, 428 i.e. 260652 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 21, 428 is 260652.

LCM(58, 21, 428) = 260652

LCM of 58, 21, 428

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

LCM of:

Least Common Multiple of 58,21,428

Least Common Multiple (LCM) of 58,21,428 is 260652

2 58, 21, 428
29, 21, 214

∴ So the LCM of the given numbers is 2 x 29 x 21 x 214 = 260652

Least Common Multiple of 58,21,428 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 58,21,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,21,428) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,21,428) x common factors =1 x 2 = 2

LCM(58,21,428) = ( 58 × 21 × 428 ) / 2

LCM(58,21,428) = 521304 / 2

LCM(58,21,428) = 260652

∴ Least Common Multiple of 58,21,428 is 260652

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 58, 21, 428

1. What is the LCM of 58, 21, 428?

Answer: LCM of 58, 21, 428 is 260652.

2. What are the Factors of 260652?

Answer: Factors of 260652 are . There are integers that are factors of 260652

3. How to Find the LCM of 58, 21, 428 ?

Least Common Multiple of 58, 21, 428.

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(58, 21, 428) = 2 x 2 x 3 x 7 x 29 x 107 = 260652.