Least Common Multiple of 424/979, 142/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/979, 142/264 quickly i.e. 30104/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/979, 142/264 is 30104/11.

LCM(424/979, 142/264) = 30104/11

LCM of 424/979, 142/264

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 424/979,142/264

Given numbers are 424/979,142/264

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 424,142

Least Common Multiple of Numerators i.e. LCM of 424,142 is 30104.

GCF of Denominators means GCF of 979,264 as per the given fractions.

GCF of 979,264 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,142

LCM of Fractions 424/979,142/264 is 30104/11

2 424, 142
212, 71

∴ So the LCM of the given numbers is 2 x 212 x 71 = 30104

Least Common Multiple of 424,142 with GCF Formula

Least Common Multiple of 424,142 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 424,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,142) = 2

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

GCF(424,142) x common factors =2 x 1 = 2

LCM(424,142) = ( 424 × 142 ) / 2

LCM(424,142) = 60208 / 2

LCM(424,142) = 30104


Lets's calculate GCF of 979,264

11 979, 264
89, 24

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30104/11

Therefore the LCM of Fractions 424/979,142/264 is 30104/11

Greatest Common Factor of 979,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,264 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 979,264 . The biggest common factor number is the GCF number.
So the greatest common factor 979,264 is 11.


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 424/979, 142/264

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 424/979, 142/264?

Answer: LCM of Numerators as per given numbers 424/979, 142/264 is

LCM of Numerators i.e. for 424,142 is 30104

GCF of denominators i.e. for 979,264 is 11.

Thus, LCM of Fractions is 30104/11.Finally, LCM of Fractions for 424/979, 142/264 is 30104/11.