Least Common Multiple of 26/38, 398/62, 793/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/38, 398/62, 793/672 quickly i.e. 157807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/38, 398/62, 793/672 is 157807.

LCM(26/38, 398/62, 793/672) = 157807

LCM of 26/38, 398/62, 793/672

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 26/38,398/62,793/672

Given numbers are 26/38,398/62,793/672

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 26,398,793

Least Common Multiple of Numerators i.e. LCM of 26,398,793 is 315614.

GCF of Denominators means GCF of 38,62,672 as per the given fractions.

GCF of 38,62,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,398,793

LCM of Fractions 26/38,398/62,793/672 is 157807

2 26, 398, 793
13 13, 199, 793
1, 199, 61

∴ So the LCM of the given numbers is 2 x 13 x 1 x 199 x 61 = 315614

Least Common Multiple of 26,398,793 with GCF Formula

Least Common Multiple of 26,398,793 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 26,398,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,398,793) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,398,793) x common factors =1 x 26 = 26

LCM(26,398,793) = ( 26 × 398 × 793 ) / 26

LCM(26,398,793) = 8205964 / 26

LCM(26,398,793) = 315614


Lets's calculate GCF of 38,62,672

2 38, 62, 672
19, 31, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315614/2

Therefore the LCM of Fractions 26/38,398/62,793/672 is 157807

Greatest Common Factor of 38,62,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,62,672 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 38,62,672 . The biggest common factor number is the GCF number.
So the greatest common factor 38,62,672 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/38, 398/62, 793/672

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 26/38, 398/62, 793/672?

Answer: LCM of Numerators as per given numbers 26/38, 398/62, 793/672 is

LCM of Numerators i.e. for 26,398,793 is 315614

GCF of denominators i.e. for 38,62,672 is 2.

Thus, LCM of Fractions is 157807.Finally, LCM of Fractions for 26/38, 398/62, 793/672 is 157807.