Least Common Multiple of 51/39, 72/50, 36/72, 20/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/39, 72/50, 36/72, 20/993 quickly i.e. 6120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/39, 72/50, 36/72, 20/993 is 6120.

LCM(51/39, 72/50, 36/72, 20/993) = 6120

LCM of 51/39, 72/50, 36/72, 20/993

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 51/39,72/50,36/72,20/993

Given numbers are 51/39,72/50,36/72,20/993

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 51,72,36,20

Least Common Multiple of Numerators i.e. LCM of 51,72,36,20 is 6120.

GCF of Denominators means GCF of 39,50,72,993 as per the given fractions.

GCF of 39,50,72,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,72,36,20

LCM of Fractions 51/39,72/50,36/72,20/993 is 6120

2 51, 72, 36, 20
2 51, 36, 18, 10
3 51, 9, 18, 5
3 17, 3, 6, 5
17, 1, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 1 x 2 x 5 = 6120

Least Common Multiple of 51,72,36,20 with GCF Formula

Least Common Multiple of 51,72,36,20 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 51,72,36,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,72,36,20) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(51,72,36,20) x common factors =1 x 432 = 432

LCM(51,72,36,20) = ( 51 × 72 × 36 × 20 ) / 432

LCM(51,72,36,20) = 2643840 / 432

LCM(51,72,36,20) = 6120


Lets's calculate GCF of 39,50,72,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6120/1

Therefore the LCM of Fractions 51/39,72/50,36/72,20/993 is 6120

Greatest Common Factor of 39,50,72,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,50,72,993 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 39,50,72,993 . The biggest common factor number is the GCF number.
So the greatest common factor 39,50,72,993 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 51/39, 72/50, 36/72, 20/993

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 51/39, 72/50, 36/72, 20/993?

Answer: LCM of Numerators as per given numbers 51/39, 72/50, 36/72, 20/993 is

LCM of Numerators i.e. for 51,72,36,20 is 6120

GCF of denominators i.e. for 39,50,72,993 is 1.

Thus, LCM of Fractions is 6120.Finally, LCM of Fractions for 51/39, 72/50, 36/72, 20/993 is 6120.