Least Common Multiple of 20, 42, 15, 168

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 20, 42, 15, 168 i.e. 840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 42, 15, 168 is 840.

LCM(20, 42, 15, 168) = 840

LCM of 20, 42, 15, 168

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

LCM of:

Least Common Multiple of 20,42,15,168

Least Common Multiple (LCM) of 20,42,15,168 is 840

2 20, 42, 15, 168
2 10, 21, 15, 84
3 5, 21, 15, 42
5 5, 7, 5, 14
7 1, 7, 1, 14
1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 1 x 1 x 2 = 840

Least Common Multiple of 20,42,15,168 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 20,42,15,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,42,15,168) = 1

common factors(in case of two or more numbers have common factors) = 2520

GCF(20,42,15,168) x common factors =1 x 2520 = 2520

LCM(20,42,15,168) = ( 20 × 42 × 15 × 168 ) / 2520

LCM(20,42,15,168) = 2116800 / 2520

LCM(20,42,15,168) = 840

∴ Least Common Multiple of 20,42,15,168 is 840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 20, 42, 15, 168

1. What is the LCM of 20, 42, 15, 168?

Answer: LCM of 20, 42, 15, 168 is 840.

2. What are the Factors of 840?

Answer: Factors of 840 are . There are integers that are factors of 840

3. How to Find the LCM of 20, 42, 15, 168 ?

Least Common Multiple of 20, 42, 15, 168.

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(20, 42, 15, 168) = 2 x 2 x 2 x 3 x 5 x 7 = 840.