Least Common Multiple of 42, 90, 36, 678

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, 90, 36, 678 i.e. 142380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 42, 90, 36, 678 is 142380.

LCM(42, 90, 36, 678) = 142380

LCM of 42, 90, 36, 678

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

LCM of:

Least Common Multiple of 42,90,36,678

Least Common Multiple (LCM) of 42,90,36,678 is 142380

2 42, 90, 36, 678
3 21, 45, 18, 339
3 7, 15, 6, 113
7, 5, 2, 113

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 2 x 113 = 142380

Least Common Multiple of 42,90,36,678 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 42,90,36,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,90,36,678) = 6

common factors(in case of two or more numbers have common factors) = 108

GCF(42,90,36,678) x common factors =6 x 108 = 648

LCM(42,90,36,678) = ( 42 × 90 × 36 × 678 ) / 648

LCM(42,90,36,678) = 92262240 / 648

LCM(42,90,36,678) = 142380

∴ Least Common Multiple of 42,90,36,678 is 142380

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 42, 90, 36, 678

1. What is the LCM of 42, 90, 36, 678?

Answer: LCM of 42, 90, 36, 678 is 142380.

2. What are the Factors of 142380?

Answer: Factors of 142380 are . There are integers that are factors of 142380

3. How to Find the LCM of 42, 90, 36, 678 ?

Least Common Multiple of 42, 90, 36, 678.

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, 90, 36, 678) = 2 x 2 x 3 x 3 x 5 x 7 x 113 = 142380.