Least Common Multiple of 422/42, 244/4280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/42, 244/4280 quickly i.e. 25742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/42, 244/4280 is 25742.

LCM(422/42, 244/4280) = 25742

LCM of 422/42, 244/4280

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 422/42,244/4280

Given numbers are 422/42,244/4280

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 422,244

Least Common Multiple of Numerators i.e. LCM of 422,244 is 51484.

GCF of Denominators means GCF of 42,4280 as per the given fractions.

GCF of 42,4280 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,244

LCM of Fractions 422/42,244/4280 is 25742

2 422, 244
211, 122

∴ So the LCM of the given numbers is 2 x 211 x 122 = 51484

Least Common Multiple of 422,244 with GCF Formula

Least Common Multiple of 422,244 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 422,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,244) = 2

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

GCF(422,244) x common factors =2 x 1 = 2

LCM(422,244) = ( 422 × 244 ) / 2

LCM(422,244) = 102968 / 2

LCM(422,244) = 51484


Lets's calculate GCF of 42,4280

2 42, 4280
21, 2140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51484/2

Therefore the LCM of Fractions 422/42,244/4280 is 25742

Greatest Common Factor of 42,4280 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4280 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 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280

Greatest Common Factor

We found the factors 42,4280 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4280 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 422/42, 244/4280

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 422/42, 244/4280?

Answer: LCM of Numerators as per given numbers 422/42, 244/4280 is

LCM of Numerators i.e. for 422,244 is 51484

GCF of denominators i.e. for 42,4280 is 2.

Thus, LCM of Fractions is 25742.Finally, LCM of Fractions for 422/42, 244/4280 is 25742.