Least Common Multiple of 634/516, 422/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/516, 422/640 quickly i.e. 133774/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/516, 422/640 is 133774/4.

LCM(634/516, 422/640) = 133774/4

LCM of 634/516, 422/640

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 634/516,422/640

Given numbers are 634/516,422/640

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 634,422

Least Common Multiple of Numerators i.e. LCM of 634,422 is 133774.

GCF of Denominators means GCF of 516,640 as per the given fractions.

GCF of 516,640 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,422

LCM of Fractions 634/516,422/640 is 133774/4

2 634, 422
317, 211

∴ So the LCM of the given numbers is 2 x 317 x 211 = 133774

Least Common Multiple of 634,422 with GCF Formula

Least Common Multiple of 634,422 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 634,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,422) = 2

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

GCF(634,422) x common factors =2 x 1 = 2

LCM(634,422) = ( 634 × 422 ) / 2

LCM(634,422) = 267548 / 2

LCM(634,422) = 133774


Lets's calculate GCF of 516,640

2 516, 640
2 258, 320
129, 160

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133774/4

Therefore the LCM of Fractions 634/516,422/640 is 133774/4

Greatest Common Factor of 516,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,640 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 516,640 . The biggest common factor number is the GCF number.
So the greatest common factor 516,640 is 4.


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 634/516, 422/640

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 634/516, 422/640?

Answer: LCM of Numerators as per given numbers 634/516, 422/640 is

LCM of Numerators i.e. for 634,422 is 133774

GCF of denominators i.e. for 516,640 is 4.

Thus, LCM of Fractions is 133774/4.Finally, LCM of Fractions for 634/516, 422/640 is 133774/4.