Least Common Multiple of 42/718, 18/400, 159/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/718, 18/400, 159/939 quickly i.e. 6678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/718, 18/400, 159/939 is 6678.

LCM(42/718, 18/400, 159/939) = 6678

LCM of 42/718, 18/400, 159/939

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 42/718,18/400,159/939

Given numbers are 42/718,18/400,159/939

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 42,18,159

Least Common Multiple of Numerators i.e. LCM of 42,18,159 is 6678.

GCF of Denominators means GCF of 718,400,939 as per the given fractions.

GCF of 718,400,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,18,159

LCM of Fractions 42/718,18/400,159/939 is 6678

2 42, 18, 159
3 21, 9, 159
7, 3, 53

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 53 = 6678

Least Common Multiple of 42,18,159 with GCF Formula

Least Common Multiple of 42,18,159 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 42,18,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,18,159) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(42,18,159) x common factors =3 x 6 = 18

LCM(42,18,159) = ( 42 × 18 × 159 ) / 18

LCM(42,18,159) = 120204 / 18

LCM(42,18,159) = 6678


Lets's calculate GCF of 718,400,939

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6678/1

Therefore the LCM of Fractions 42/718,18/400,159/939 is 6678

Greatest Common Factor of 718,400,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,400,939 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 718,400,939 . The biggest common factor number is the GCF number.
So the greatest common factor 718,400,939 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 42/718, 18/400, 159/939

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 42/718, 18/400, 159/939?

Answer: LCM of Numerators as per given numbers 42/718, 18/400, 159/939 is

LCM of Numerators i.e. for 42,18,159 is 6678

GCF of denominators i.e. for 718,400,939 is 1.

Thus, LCM of Fractions is 6678.Finally, LCM of Fractions for 42/718, 18/400, 159/939 is 6678.