Least Common Multiple of 42, 38, 18, 213

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 42, 38, 18, 213 i.e. 169974 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 38, 18, 213 is 169974.

LCM(42, 38, 18, 213) = 169974

LCM of 42, 38, 18, 213

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

LCM of:

Least Common Multiple of 42,38,18,213

Least Common Multiple (LCM) of 42,38,18,213 is 169974

2 42, 38, 18, 213
3 21, 19, 9, 213
7, 19, 3, 71

∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 3 x 71 = 169974

Least Common Multiple of 42,38,18,213 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 42,38,18,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,38,18,213) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(42,38,18,213) x common factors =1 x 36 = 36

LCM(42,38,18,213) = ( 42 × 38 × 18 × 213 ) / 36

LCM(42,38,18,213) = 6119064 / 36

LCM(42,38,18,213) = 169974

∴ Least Common Multiple of 42,38,18,213 is 169974

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 42, 38, 18, 213

1. What is the LCM of 42, 38, 18, 213?

Answer: LCM of 42, 38, 18, 213 is 169974.

2. What are the Factors of 169974?

Answer: Factors of 169974 are . There are integers that are factors of 169974

3. How to Find the LCM of 42, 38, 18, 213 ?

Least Common Multiple of 42, 38, 18, 213.

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(42, 38, 18, 213) = 2 x 3 x 3 x 7 x 19 x 71 = 169974.