Least Common Multiple of 68/131, 781/253, 992/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/131, 781/253, 992/726 quickly i.e. 13170784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/131, 781/253, 992/726 is 13170784.

LCM(68/131, 781/253, 992/726) = 13170784

LCM of 68/131, 781/253, 992/726

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 68/131,781/253,992/726

Given numbers are 68/131,781/253,992/726

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 68,781,992

Least Common Multiple of Numerators i.e. LCM of 68,781,992 is 13170784.

GCF of Denominators means GCF of 131,253,726 as per the given fractions.

GCF of 131,253,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,781,992

LCM of Fractions 68/131,781/253,992/726 is 13170784

2 68, 781, 992
2 34, 781, 496
17, 781, 248

∴ So the LCM of the given numbers is 2 x 2 x 17 x 781 x 248 = 13170784

Least Common Multiple of 68,781,992 with GCF Formula

Least Common Multiple of 68,781,992 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 68,781,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,781,992) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,781,992) x common factors =1 x 4 = 4

LCM(68,781,992) = ( 68 × 781 × 992 ) / 4

LCM(68,781,992) = 52683136 / 4

LCM(68,781,992) = 13170784


Lets's calculate GCF of 131,253,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13170784/1

Therefore the LCM of Fractions 68/131,781/253,992/726 is 13170784

Greatest Common Factor of 131,253,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,253,726 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 131,253,726 . The biggest common factor number is the GCF number.
So the greatest common factor 131,253,726 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 68/131, 781/253, 992/726

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 68/131, 781/253, 992/726?

Answer: LCM of Numerators as per given numbers 68/131, 781/253, 992/726 is

LCM of Numerators i.e. for 68,781,992 is 13170784

GCF of denominators i.e. for 131,253,726 is 1.

Thus, LCM of Fractions is 13170784.Finally, LCM of Fractions for 68/131, 781/253, 992/726 is 13170784.