Least Common Multiple of 13/32, 79/95, 83/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/32, 79/95, 83/426 quickly i.e. 85241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/32, 79/95, 83/426 is 85241.

LCM(13/32, 79/95, 83/426) = 85241

LCM of 13/32, 79/95, 83/426

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 13/32,79/95,83/426

Given numbers are 13/32,79/95,83/426

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 13,79,83

Least Common Multiple of Numerators i.e. LCM of 13,79,83 is 85241.

GCF of Denominators means GCF of 32,95,426 as per the given fractions.

GCF of 32,95,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,79,83

LCM of Fractions 13/32,79/95,83/426 is 85241

Given numbers has no common factors except 1. So, there LCM is their product i.e 85241

Least Common Multiple of 13,79,83 with GCF Formula

Least Common Multiple of 13,79,83 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 13,79,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,79,83) = 1

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

GCF(13,79,83) x common factors =1 x 1 = 1

LCM(13,79,83) = ( 13 × 79 × 83 ) / 1

LCM(13,79,83) = 85241 / 1

LCM(13,79,83) = 85241


Lets's calculate GCF of 32,95,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85241/1

Therefore the LCM of Fractions 13/32,79/95,83/426 is 85241

Greatest Common Factor of 32,95,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,95,426 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 32,95,426 . The biggest common factor number is the GCF number.
So the greatest common factor 32,95,426 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/32, 79/95, 83/426

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 13/32, 79/95, 83/426?

Answer: LCM of Numerators as per given numbers 13/32, 79/95, 83/426 is

LCM of Numerators i.e. for 13,79,83 is 85241

GCF of denominators i.e. for 32,95,426 is 1.

Thus, LCM of Fractions is 85241.Finally, LCM of Fractions for 13/32, 79/95, 83/426 is 85241.