Least Common Multiple of 679/26, 751/65, 158/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/26, 751/65, 158/344 quickly i.e. 80568782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/26, 751/65, 158/344 is 80568782.

LCM(679/26, 751/65, 158/344) = 80568782

LCM of 679/26, 751/65, 158/344

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 679/26,751/65,158/344

Given numbers are 679/26,751/65,158/344

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 679,751,158

Least Common Multiple of Numerators i.e. LCM of 679,751,158 is 80568782.

GCF of Denominators means GCF of 26,65,344 as per the given fractions.

GCF of 26,65,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,751,158

LCM of Fractions 679/26,751/65,158/344 is 80568782

Given numbers has no common factors except 1. So, there LCM is their product i.e 80568782

Least Common Multiple of 679,751,158 with GCF Formula

Least Common Multiple of 679,751,158 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 679,751,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,751,158) = 1

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

GCF(679,751,158) x common factors =1 x 1 = 1

LCM(679,751,158) = ( 679 × 751 × 158 ) / 1

LCM(679,751,158) = 80568782 / 1

LCM(679,751,158) = 80568782


Lets's calculate GCF of 26,65,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80568782/1

Therefore the LCM of Fractions 679/26,751/65,158/344 is 80568782

Greatest Common Factor of 26,65,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,65,344 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 26,65,344 . The biggest common factor number is the GCF number.
So the greatest common factor 26,65,344 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 679/26, 751/65, 158/344

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 679/26, 751/65, 158/344?

Answer: LCM of Numerators as per given numbers 679/26, 751/65, 158/344 is

LCM of Numerators i.e. for 679,751,158 is 80568782

GCF of denominators i.e. for 26,65,344 is 1.

Thus, LCM of Fractions is 80568782.Finally, LCM of Fractions for 679/26, 751/65, 158/344 is 80568782.