Least Common Multiple of 296/422, 956/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/422, 956/189 quickly i.e. 70744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/422, 956/189 is 70744.

LCM(296/422, 956/189) = 70744

LCM of 296/422, 956/189

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 296/422,956/189

Given numbers are 296/422,956/189

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 296,956

Least Common Multiple of Numerators i.e. LCM of 296,956 is 70744.

GCF of Denominators means GCF of 422,189 as per the given fractions.

GCF of 422,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,956

LCM of Fractions 296/422,956/189 is 70744

2 296, 956
2 148, 478
74, 239

∴ So the LCM of the given numbers is 2 x 2 x 74 x 239 = 70744

Least Common Multiple of 296,956 with GCF Formula

Least Common Multiple of 296,956 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 296,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,956) = 4

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

GCF(296,956) x common factors =4 x 1 = 4

LCM(296,956) = ( 296 × 956 ) / 4

LCM(296,956) = 282976 / 4

LCM(296,956) = 70744


Lets's calculate GCF of 422,189

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70744/1

Therefore the LCM of Fractions 296/422,956/189 is 70744

Greatest Common Factor of 422,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,189 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 422,189 . The biggest common factor number is the GCF number.
So the greatest common factor 422,189 is 1.


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 296/422, 956/189

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 296/422, 956/189?

Answer: LCM of Numerators as per given numbers 296/422, 956/189 is

LCM of Numerators i.e. for 296,956 is 70744

GCF of denominators i.e. for 422,189 is 1.

Thus, LCM of Fractions is 70744.Finally, LCM of Fractions for 296/422, 956/189 is 70744.