Least Common Multiple of 420/42, 679/5140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/42, 679/5140 quickly i.e. 20370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/42, 679/5140 is 20370.

LCM(420/42, 679/5140) = 20370

LCM of 420/42, 679/5140

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 420/42,679/5140

Given numbers are 420/42,679/5140

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 420,679

Least Common Multiple of Numerators i.e. LCM of 420,679 is 40740.

GCF of Denominators means GCF of 42,5140 as per the given fractions.

GCF of 42,5140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,679

LCM of Fractions 420/42,679/5140 is 20370

7 420, 679
60, 97

∴ So the LCM of the given numbers is 7 x 60 x 97 = 40740

Least Common Multiple of 420,679 with GCF Formula

Least Common Multiple of 420,679 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 420,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,679) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(420,679) x common factors =7 x 1 = 7

LCM(420,679) = ( 420 × 679 ) / 7

LCM(420,679) = 285180 / 7

LCM(420,679) = 40740


Lets's calculate GCF of 42,5140

2 42, 5140
21, 2570

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40740/2

Therefore the LCM of Fractions 420/42,679/5140 is 20370

Greatest Common Factor of 42,5140 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5140 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors 42,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5140 is 2.


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 420/42, 679/5140

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 420/42, 679/5140?

Answer: LCM of Numerators as per given numbers 420/42, 679/5140 is

LCM of Numerators i.e. for 420,679 is 40740

GCF of denominators i.e. for 42,5140 is 2.

Thus, LCM of Fractions is 20370.Finally, LCM of Fractions for 420/42, 679/5140 is 20370.