Least Common Multiple of 212, 360, 305, 119

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 212, 360, 305, 119 i.e. 138501720 smallest integer divisible by all numbers.

Least common multiple (LCM) of 212, 360, 305, 119 is 138501720.

LCM(212, 360, 305, 119) = 138501720

LCM of 212, 360, 305, 119

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

LCM of:

Least Common Multiple of 212,360,305,119

Least Common Multiple (LCM) of 212,360,305,119 is 138501720

2 212, 360, 305, 119
2 106, 180, 305, 119
5 53, 90, 305, 119
53, 18, 61, 119

∴ So the LCM of the given numbers is 2 x 2 x 5 x 53 x 18 x 61 x 119 = 138501720

Least Common Multiple of 212,360,305,119 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 212,360,305,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,360,305,119) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(212,360,305,119) x common factors =1 x 20 = 20

LCM(212,360,305,119) = ( 212 × 360 × 305 × 119 ) / 20

LCM(212,360,305,119) = 2770034400 / 20

LCM(212,360,305,119) = 138501720

∴ Least Common Multiple of 212,360,305,119 is 138501720

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 212, 360, 305, 119

1. What is the LCM of 212, 360, 305, 119?

Answer: LCM of 212, 360, 305, 119 is 138501720.

2. What are the Factors of 138501720?

Answer: Factors of 138501720 are . There are integers that are factors of 138501720

3. How to Find the LCM of 212, 360, 305, 119 ?

Least Common Multiple of 212, 360, 305, 119.

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(212, 360, 305, 119) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 17 x 53 x 61 = 138501720.