Least Common Multiple of 79/20, 49/74, 31/12, 556/51

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/20, 49/74, 31/12, 556/51 quickly i.e. 66720556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/20, 49/74, 31/12, 556/51 is 66720556.

LCM(79/20, 49/74, 31/12, 556/51) = 66720556

LCM of 79/20, 49/74, 31/12, 556/51

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 79/20,49/74,31/12,556/51

Given numbers are 79/20,49/74,31/12,556/51

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 79,49,31,556

Least Common Multiple of Numerators i.e. LCM of 79,49,31,556 is 66720556.

GCF of Denominators means GCF of 20,74,12,51 as per the given fractions.

GCF of 20,74,12,51 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,49,31,556

LCM of Fractions 79/20,49/74,31/12,556/51 is 66720556

Given numbers has no common factors except 1. So, there LCM is their product i.e 66720556

Least Common Multiple of 79,49,31,556 with GCF Formula

Least Common Multiple of 79,49,31,556 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 79,49,31,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,49,31,556) = 1

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

GCF(79,49,31,556) x common factors =1 x 1 = 1

LCM(79,49,31,556) = ( 79 × 49 × 31 × 556 ) / 1

LCM(79,49,31,556) = 66720556 / 1

LCM(79,49,31,556) = 66720556


Lets's calculate GCF of 20,74,12,51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66720556/1

Therefore the LCM of Fractions 79/20,49/74,31/12,556/51 is 66720556

Greatest Common Factor of 20,74,12,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,74,12,51 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 20,74,12,51 . The biggest common factor number is the GCF number.
So the greatest common factor 20,74,12,51 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 79/20, 49/74, 31/12, 556/51

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 79/20, 49/74, 31/12, 556/51?

Answer: LCM of Numerators as per given numbers 79/20, 49/74, 31/12, 556/51 is

LCM of Numerators i.e. for 79,49,31,556 is 66720556

GCF of denominators i.e. for 20,74,12,51 is 1.

Thus, LCM of Fractions is 66720556.Finally, LCM of Fractions for 79/20, 49/74, 31/12, 556/51 is 66720556.