Least Common Multiple of 42, 108, 342

Q: How to Find the LCM of 42, 108, 342 ?

Least Common Multiple of 42, 108, 342 = 14364 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, 108, 342) = 2 x 2 x 3 x 3 x 3 x 7 x 19 = 14364.

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, 108, 342 i.e. 14364 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 108, 342 is 14364.

LCM(42, 108, 342) = 14364

LCM of 42, 108, 342

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

Least Common Multiple of 42, 108, 342 by common division method
Least Common Multiple of 42, 108, 342 with GCF Formula

Least Common Multiple of 42,108,342

Least Common Multiple (LCM) of 42,108,342 is 14364

2	42, 108, 342
3	21, 54, 171
3	7, 18, 57
	7, 6, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 6 x 19 = 14364

Least Common Multiple of 42,108,342 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,108,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,108,342) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(42,108,342) x common factors =6 x 18 = 108

LCM(42,108,342) = ( 42 × 108 × 342 ) / 108

LCM(42,108,342) = 1551312 / 108

LCM(42,108,342) = 14364

∴ Least Common Multiple of 42,108,342 is 14364

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 42, 108, 342

1. What is the LCM of 42, 108, 342?

Answer: LCM of 42, 108, 342 is 14364.

2. What are the Factors of 14364?

Answer: Factors of 14364 are . There are integers that are factors of 14364

3. How to Find the LCM of 42, 108, 342 ?

Least Common Multiple of 42, 108, 342.

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, 108, 342) = 2 x 2 x 3 x 3 x 3 x 7 x 19 = 14364.