Least Common Multiple of 96/226, 6921/2056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/226, 6921/2056 quickly i.e. 110736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/226, 6921/2056 is 110736.

LCM(96/226, 6921/2056) = 110736

LCM of 96/226, 6921/2056

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 96/226,6921/2056

Given numbers are 96/226,6921/2056

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 96,6921

Least Common Multiple of Numerators i.e. LCM of 96,6921 is 221472.

GCF of Denominators means GCF of 226,2056 as per the given fractions.

GCF of 226,2056 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,6921

LCM of Fractions 96/226,6921/2056 is 110736

3 96, 6921
32, 2307

∴ So the LCM of the given numbers is 3 x 32 x 2307 = 221472

Least Common Multiple of 96,6921 with GCF Formula

Least Common Multiple of 96,6921 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 96,6921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,6921) = 3

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

GCF(96,6921) x common factors =3 x 1 = 3

LCM(96,6921) = ( 96 × 6921 ) / 3

LCM(96,6921) = 664416 / 3

LCM(96,6921) = 221472


Lets's calculate GCF of 226,2056

2 226, 2056
113, 1028

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221472/2

Therefore the LCM of Fractions 96/226,6921/2056 is 110736

Greatest Common Factor of 226,2056 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,2056 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 2056

List of positive integer factors of 2056 that divides 2056 without a remainder.

1,2,4,8,257,514,1028,2056

Greatest Common Factor

We found the factors 226,2056 . The biggest common factor number is the GCF number.
So the greatest common factor 226,2056 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/226, 6921/2056

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 96/226, 6921/2056?

Answer: LCM of Numerators as per given numbers 96/226, 6921/2056 is

LCM of Numerators i.e. for 96,6921 is 221472

GCF of denominators i.e. for 226,2056 is 2.

Thus, LCM of Fractions is 110736.Finally, LCM of Fractions for 96/226, 6921/2056 is 110736.