Least Common Multiple of 60/78, 13/46, 30/26, 72/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/78, 13/46, 30/26, 72/728 quickly i.e. 2340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/78, 13/46, 30/26, 72/728 is 2340.

LCM(60/78, 13/46, 30/26, 72/728) = 2340

LCM of 60/78, 13/46, 30/26, 72/728

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 60/78,13/46,30/26,72/728

Given numbers are 60/78,13/46,30/26,72/728

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 60,13,30,72

Least Common Multiple of Numerators i.e. LCM of 60,13,30,72 is 4680.

GCF of Denominators means GCF of 78,46,26,728 as per the given fractions.

GCF of 78,46,26,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,13,30,72

LCM of Fractions 60/78,13/46,30/26,72/728 is 2340

2 60, 13, 30, 72
2 30, 13, 15, 36
3 15, 13, 15, 18
5 5, 13, 5, 6
1, 13, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 13 x 1 x 6 = 4680

Least Common Multiple of 60,13,30,72 with GCF Formula

Least Common Multiple of 60,13,30,72 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 60,13,30,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,13,30,72) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(60,13,30,72) x common factors =1 x 360 = 360

LCM(60,13,30,72) = ( 60 × 13 × 30 × 72 ) / 360

LCM(60,13,30,72) = 1684800 / 360

LCM(60,13,30,72) = 4680


Lets's calculate GCF of 78,46,26,728

2 78, 46, 26, 728
39, 23, 13, 364

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/2

Therefore the LCM of Fractions 60/78,13/46,30/26,72/728 is 2340

Greatest Common Factor of 78,46,26,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,46,26,728 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 78,46,26,728 . The biggest common factor number is the GCF number.
So the greatest common factor 78,46,26,728 is 2.


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 60/78, 13/46, 30/26, 72/728

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 60/78, 13/46, 30/26, 72/728?

Answer: LCM of Numerators as per given numbers 60/78, 13/46, 30/26, 72/728 is

LCM of Numerators i.e. for 60,13,30,72 is 4680

GCF of denominators i.e. for 78,46,26,728 is 2.

Thus, LCM of Fractions is 2340.Finally, LCM of Fractions for 60/78, 13/46, 30/26, 72/728 is 2340.