Least Common Multiple of 422/76, 906/9264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/76, 906/9264 quickly i.e. 191166/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/76, 906/9264 is 191166/4.

LCM(422/76, 906/9264) = 191166/4

LCM of 422/76, 906/9264

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 422/76,906/9264

Given numbers are 422/76,906/9264

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 422,906

Least Common Multiple of Numerators i.e. LCM of 422,906 is 191166.

GCF of Denominators means GCF of 76,9264 as per the given fractions.

GCF of 76,9264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,906

LCM of Fractions 422/76,906/9264 is 191166/4

2 422, 906
211, 453

∴ So the LCM of the given numbers is 2 x 211 x 453 = 191166

Least Common Multiple of 422,906 with GCF Formula

Least Common Multiple of 422,906 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 422,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,906) = 2

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

GCF(422,906) x common factors =2 x 1 = 2

LCM(422,906) = ( 422 × 906 ) / 2

LCM(422,906) = 382332 / 2

LCM(422,906) = 191166


Lets's calculate GCF of 76,9264

2 76, 9264
2 38, 4632
19, 2316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191166/4

Therefore the LCM of Fractions 422/76,906/9264 is 191166/4

Greatest Common Factor of 76,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,9264 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 76,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 76,9264 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 422/76, 906/9264

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 422/76, 906/9264?

Answer: LCM of Numerators as per given numbers 422/76, 906/9264 is

LCM of Numerators i.e. for 422,906 is 191166

GCF of denominators i.e. for 76,9264 is 4.

Thus, LCM of Fractions is 191166/4.Finally, LCM of Fractions for 422/76, 906/9264 is 191166/4.