Least Common Multiple of 26/266, 22/953, 413/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/266, 22/953, 413/672 quickly i.e. 118118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/266, 22/953, 413/672 is 118118.

LCM(26/266, 22/953, 413/672) = 118118

LCM of 26/266, 22/953, 413/672

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 26/266,22/953,413/672

Given numbers are 26/266,22/953,413/672

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 26,22,413

Least Common Multiple of Numerators i.e. LCM of 26,22,413 is 118118.

GCF of Denominators means GCF of 266,953,672 as per the given fractions.

GCF of 266,953,672 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,22,413

LCM of Fractions 26/266,22/953,413/672 is 118118

2 26, 22, 413
13, 11, 413

∴ So the LCM of the given numbers is 2 x 13 x 11 x 413 = 118118

Least Common Multiple of 26,22,413 with GCF Formula

Least Common Multiple of 26,22,413 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 26,22,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,22,413) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,22,413) x common factors =1 x 2 = 2

LCM(26,22,413) = ( 26 × 22 × 413 ) / 2

LCM(26,22,413) = 236236 / 2

LCM(26,22,413) = 118118


Lets's calculate GCF of 266,953,672

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118118/1

Therefore the LCM of Fractions 26/266,22/953,413/672 is 118118

Greatest Common Factor of 266,953,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,953,672 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 266,953,672 . The biggest common factor number is the GCF number.
So the greatest common factor 266,953,672 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/266, 22/953, 413/672

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 26/266, 22/953, 413/672?

Answer: LCM of Numerators as per given numbers 26/266, 22/953, 413/672 is

LCM of Numerators i.e. for 26,22,413 is 118118

GCF of denominators i.e. for 266,953,672 is 1.

Thus, LCM of Fractions is 118118.Finally, LCM of Fractions for 26/266, 22/953, 413/672 is 118118.