Least Common Multiple of 48/78, 21/13, 85/38, 20/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/78, 21/13, 85/38, 20/588 quickly i.e. 28560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/78, 21/13, 85/38, 20/588 is 28560.

LCM(48/78, 21/13, 85/38, 20/588) = 28560

LCM of 48/78, 21/13, 85/38, 20/588

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 48/78,21/13,85/38,20/588

Given numbers are 48/78,21/13,85/38,20/588

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 48,21,85,20

Least Common Multiple of Numerators i.e. LCM of 48,21,85,20 is 28560.

GCF of Denominators means GCF of 78,13,38,588 as per the given fractions.

GCF of 78,13,38,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,21,85,20

LCM of Fractions 48/78,21/13,85/38,20/588 is 28560

2 48, 21, 85, 20
2 24, 21, 85, 10
3 12, 21, 85, 5
5 4, 7, 85, 5
4, 7, 17, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 7 x 17 x 1 = 28560

Least Common Multiple of 48,21,85,20 with GCF Formula

Least Common Multiple of 48,21,85,20 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 48,21,85,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,21,85,20) = 1

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

GCF(48,21,85,20) x common factors =1 x 60 = 60

LCM(48,21,85,20) = ( 48 × 21 × 85 × 20 ) / 60

LCM(48,21,85,20) = 1713600 / 60

LCM(48,21,85,20) = 28560


Lets's calculate GCF of 78,13,38,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/1

Therefore the LCM of Fractions 48/78,21/13,85/38,20/588 is 28560

Greatest Common Factor of 78,13,38,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,13,38,588 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 13

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

1,13

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 78,13,38,588 . The biggest common factor number is the GCF number.
So the greatest common factor 78,13,38,588 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 48/78, 21/13, 85/38, 20/588

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 48/78, 21/13, 85/38, 20/588?

Answer: LCM of Numerators as per given numbers 48/78, 21/13, 85/38, 20/588 is

LCM of Numerators i.e. for 48,21,85,20 is 28560

GCF of denominators i.e. for 78,13,38,588 is 1.

Thus, LCM of Fractions is 28560.Finally, LCM of Fractions for 48/78, 21/13, 85/38, 20/588 is 28560.