Least Common Multiple of 78/13, 24/79, 40/40, 51/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/13, 24/79, 40/40, 51/59 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/13, 24/79, 40/40, 51/59 is 26520.

LCM(78/13, 24/79, 40/40, 51/59) = 26520

LCM of 78/13, 24/79, 40/40, 51/59

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 78/13,24/79,40/40,51/59

Given numbers are 78/13,24/79,40/40,51/59

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 78,24,40,51

Least Common Multiple of Numerators i.e. LCM of 78,24,40,51 is 26520.

GCF of Denominators means GCF of 13,79,40,59 as per the given fractions.

GCF of 13,79,40,59 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,24,40,51

LCM of Fractions 78/13,24/79,40/40,51/59 is 26520

2 78, 24, 40, 51
2 39, 12, 20, 51
2 39, 6, 10, 51
3 39, 3, 5, 51
13, 1, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 5 x 17 = 26520

Least Common Multiple of 78,24,40,51 with GCF Formula

Least Common Multiple of 78,24,40,51 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 78,24,40,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,24,40,51) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(78,24,40,51) x common factors =1 x 144 = 144

LCM(78,24,40,51) = ( 78 × 24 × 40 × 51 ) / 144

LCM(78,24,40,51) = 3818880 / 144

LCM(78,24,40,51) = 26520


Lets's calculate GCF of 13,79,40,59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1

Therefore the LCM of Fractions 78/13,24/79,40/40,51/59 is 26520

Greatest Common Factor of 13,79,40,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,79,40,59 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 13,79,40,59 . The biggest common factor number is the GCF number.
So the greatest common factor 13,79,40,59 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 78/13, 24/79, 40/40, 51/59

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 78/13, 24/79, 40/40, 51/59?

Answer: LCM of Numerators as per given numbers 78/13, 24/79, 40/40, 51/59 is

LCM of Numerators i.e. for 78,24,40,51 is 26520

GCF of denominators i.e. for 13,79,40,59 is 1.

Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 78/13, 24/79, 40/40, 51/59 is 26520.