Least Common Multiple of 6/13, 7/48, 76/18, 20/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/13, 7/48, 76/18, 20/320 quickly i.e. 7980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/13, 7/48, 76/18, 20/320 is 7980.

LCM(6/13, 7/48, 76/18, 20/320) = 7980

LCM of 6/13, 7/48, 76/18, 20/320

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 6/13,7/48,76/18,20/320

Given numbers are 6/13,7/48,76/18,20/320

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 6,7,76,20

Least Common Multiple of Numerators i.e. LCM of 6,7,76,20 is 7980.

GCF of Denominators means GCF of 13,48,18,320 as per the given fractions.

GCF of 13,48,18,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7,76,20

LCM of Fractions 6/13,7/48,76/18,20/320 is 7980

2 6, 7, 76, 20
2 3, 7, 38, 10
3, 7, 19, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 5 = 7980

Least Common Multiple of 6,7,76,20 with GCF Formula

Least Common Multiple of 6,7,76,20 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 6,7,76,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,76,20) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(6,7,76,20) x common factors =1 x 8 = 8

LCM(6,7,76,20) = ( 6 × 7 × 76 × 20 ) / 8

LCM(6,7,76,20) = 63840 / 8

LCM(6,7,76,20) = 7980


Lets's calculate GCF of 13,48,18,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7980/1

Therefore the LCM of Fractions 6/13,7/48,76/18,20/320 is 7980

Greatest Common Factor of 13,48,18,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,48,18,320 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 13,48,18,320 . The biggest common factor number is the GCF number.
So the greatest common factor 13,48,18,320 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 6/13, 7/48, 76/18, 20/320

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 6/13, 7/48, 76/18, 20/320?

Answer: LCM of Numerators as per given numbers 6/13, 7/48, 76/18, 20/320 is

LCM of Numerators i.e. for 6,7,76,20 is 7980

GCF of denominators i.e. for 13,48,18,320 is 1.

Thus, LCM of Fractions is 7980.Finally, LCM of Fractions for 6/13, 7/48, 76/18, 20/320 is 7980.