Least Common Multiple of 297/422, 182/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 297/422, 182/968 quickly i.e. 27027 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/422, 182/968 is 27027.

LCM(297/422, 182/968) = 27027

LCM of 297/422, 182/968

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 297/422,182/968

Given numbers are 297/422,182/968

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 297,182

Least Common Multiple of Numerators i.e. LCM of 297,182 is 54054.

GCF of Denominators means GCF of 422,968 as per the given fractions.

GCF of 422,968 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,182

LCM of Fractions 297/422,182/968 is 27027

Given numbers has no common factors except 1. So, there LCM is their product i.e 54054

Least Common Multiple of 297,182 with GCF Formula

Least Common Multiple of 297,182 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 297,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,182) = 1

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

GCF(297,182) x common factors =1 x 1 = 1

LCM(297,182) = ( 297 × 182 ) / 1

LCM(297,182) = 54054 / 1

LCM(297,182) = 54054


Lets's calculate GCF of 422,968

2 422, 968
211, 484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54054/2

Therefore the LCM of Fractions 297/422,182/968 is 27027

Greatest Common Factor of 422,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,968 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 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 422,968 . The biggest common factor number is the GCF number.
So the greatest common factor 422,968 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 297/422, 182/968

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 297/422, 182/968?

Answer: LCM of Numerators as per given numbers 297/422, 182/968 is

LCM of Numerators i.e. for 297,182 is 54054

GCF of denominators i.e. for 422,968 is 2.

Thus, LCM of Fractions is 27027.Finally, LCM of Fractions for 297/422, 182/968 is 27027.