Least Common Multiple of 60/479, 36/556, 793/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/479, 36/556, 793/254 quickly i.e. 142740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/479, 36/556, 793/254 is 142740.

LCM(60/479, 36/556, 793/254) = 142740

LCM of 60/479, 36/556, 793/254

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 60/479,36/556,793/254

Given numbers are 60/479,36/556,793/254

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 60,36,793

Least Common Multiple of Numerators i.e. LCM of 60,36,793 is 142740.

GCF of Denominators means GCF of 479,556,254 as per the given fractions.

GCF of 479,556,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,36,793

LCM of Fractions 60/479,36/556,793/254 is 142740

2 60, 36, 793
2 30, 18, 793
3 15, 9, 793
5, 3, 793

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 793 = 142740

Least Common Multiple of 60,36,793 with GCF Formula

Least Common Multiple of 60,36,793 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 60,36,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,36,793) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,36,793) x common factors =1 x 12 = 12

LCM(60,36,793) = ( 60 × 36 × 793 ) / 12

LCM(60,36,793) = 1712880 / 12

LCM(60,36,793) = 142740


Lets's calculate GCF of 479,556,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142740/1

Therefore the LCM of Fractions 60/479,36/556,793/254 is 142740

Greatest Common Factor of 479,556,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,556,254 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 479,556,254 . The biggest common factor number is the GCF number.
So the greatest common factor 479,556,254 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 60/479, 36/556, 793/254

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 60/479, 36/556, 793/254?

Answer: LCM of Numerators as per given numbers 60/479, 36/556, 793/254 is

LCM of Numerators i.e. for 60,36,793 is 142740

GCF of denominators i.e. for 479,556,254 is 1.

Thus, LCM of Fractions is 142740.Finally, LCM of Fractions for 60/479, 36/556, 793/254 is 142740.