Least Common Multiple of 79/139, 15/794, 912/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/139, 15/794, 912/270 quickly i.e. 360240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/139, 15/794, 912/270 is 360240.

LCM(79/139, 15/794, 912/270) = 360240

LCM of 79/139, 15/794, 912/270

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 79/139,15/794,912/270

Given numbers are 79/139,15/794,912/270

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 79,15,912

Least Common Multiple of Numerators i.e. LCM of 79,15,912 is 360240.

GCF of Denominators means GCF of 139,794,270 as per the given fractions.

GCF of 139,794,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,15,912

LCM of Fractions 79/139,15/794,912/270 is 360240

3 79, 15, 912
79, 5, 304

∴ So the LCM of the given numbers is 3 x 79 x 5 x 304 = 360240

Least Common Multiple of 79,15,912 with GCF Formula

Least Common Multiple of 79,15,912 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 79,15,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,15,912) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(79,15,912) x common factors =1 x 3 = 3

LCM(79,15,912) = ( 79 × 15 × 912 ) / 3

LCM(79,15,912) = 1080720 / 3

LCM(79,15,912) = 360240


Lets's calculate GCF of 139,794,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360240/1

Therefore the LCM of Fractions 79/139,15/794,912/270 is 360240

Greatest Common Factor of 139,794,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,794,270 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 139,794,270 . The biggest common factor number is the GCF number.
So the greatest common factor 139,794,270 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 79/139, 15/794, 912/270

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 79/139, 15/794, 912/270?

Answer: LCM of Numerators as per given numbers 79/139, 15/794, 912/270 is

LCM of Numerators i.e. for 79,15,912 is 360240

GCF of denominators i.e. for 139,794,270 is 1.

Thus, LCM of Fractions is 360240.Finally, LCM of Fractions for 79/139, 15/794, 912/270 is 360240.