Least Common Multiple of 20/49, 54/83, 61/76, 30/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/49, 54/83, 61/76, 30/799 quickly i.e. 32940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/49, 54/83, 61/76, 30/799 is 32940.

LCM(20/49, 54/83, 61/76, 30/799) = 32940

LCM of 20/49, 54/83, 61/76, 30/799

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 20/49,54/83,61/76,30/799

Given numbers are 20/49,54/83,61/76,30/799

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 20,54,61,30

Least Common Multiple of Numerators i.e. LCM of 20,54,61,30 is 32940.

GCF of Denominators means GCF of 49,83,76,799 as per the given fractions.

GCF of 49,83,76,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,54,61,30

LCM of Fractions 20/49,54/83,61/76,30/799 is 32940

2 20, 54, 61, 30
3 10, 27, 61, 15
5 10, 9, 61, 5
2, 9, 61, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 9 x 61 x 1 = 32940

Least Common Multiple of 20,54,61,30 with GCF Formula

Least Common Multiple of 20,54,61,30 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 20,54,61,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,54,61,30) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(20,54,61,30) x common factors =1 x 60 = 60

LCM(20,54,61,30) = ( 20 × 54 × 61 × 30 ) / 60

LCM(20,54,61,30) = 1976400 / 60

LCM(20,54,61,30) = 32940


Lets's calculate GCF of 49,83,76,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32940/1

Therefore the LCM of Fractions 20/49,54/83,61/76,30/799 is 32940

Greatest Common Factor of 49,83,76,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,83,76,799 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 49,83,76,799 . The biggest common factor number is the GCF number.
So the greatest common factor 49,83,76,799 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 20/49, 54/83, 61/76, 30/799

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 20/49, 54/83, 61/76, 30/799?

Answer: LCM of Numerators as per given numbers 20/49, 54/83, 61/76, 30/799 is

LCM of Numerators i.e. for 20,54,61,30 is 32940

GCF of denominators i.e. for 49,83,76,799 is 1.

Thus, LCM of Fractions is 32940.Finally, LCM of Fractions for 20/49, 54/83, 61/76, 30/799 is 32940.