Least Common Multiple of 21, 38, 57, 558

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, 38, 57, 558 i.e. 74214 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 38, 57, 558 is 74214.

LCM(21, 38, 57, 558) = 74214

LCM of 21, 38, 57, 558

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

LCM of:

Least Common Multiple of 21,38,57,558

Least Common Multiple (LCM) of 21,38,57,558 is 74214

2 21, 38, 57, 558
3 21, 19, 57, 279
19 7, 19, 19, 93
7, 1, 1, 93

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 1 x 1 x 93 = 74214

Least Common Multiple of 21,38,57,558 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 21,38,57,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,38,57,558) = 1

common factors(in case of two or more numbers have common factors) = 342

GCF(21,38,57,558) x common factors =1 x 342 = 342

LCM(21,38,57,558) = ( 21 × 38 × 57 × 558 ) / 342

LCM(21,38,57,558) = 25381188 / 342

LCM(21,38,57,558) = 74214

∴ Least Common Multiple of 21,38,57,558 is 74214

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 38, 57, 558

1. What is the LCM of 21, 38, 57, 558?

Answer: LCM of 21, 38, 57, 558 is 74214.

2. What are the Factors of 74214?

Answer: Factors of 74214 are . There are integers that are factors of 74214

3. How to Find the LCM of 21, 38, 57, 558 ?

Least Common Multiple of 21, 38, 57, 558.

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, 38, 57, 558) = 2 x 3 x 3 x 7 x 19 x 31 = 74214.