Least Common Multiple of 78/56, 720/31, 234/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/56, 720/31, 234/625 quickly i.e. 9360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/56, 720/31, 234/625 is 9360.

LCM(78/56, 720/31, 234/625) = 9360

LCM of 78/56, 720/31, 234/625

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 78/56,720/31,234/625

Given numbers are 78/56,720/31,234/625

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 78,720,234

Least Common Multiple of Numerators i.e. LCM of 78,720,234 is 9360.

GCF of Denominators means GCF of 56,31,625 as per the given fractions.

GCF of 56,31,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,720,234

LCM of Fractions 78/56,720/31,234/625 is 9360

2 78, 720, 234
3 39, 360, 117
3 13, 120, 39
13 13, 40, 13
1, 40, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 40 x 1 = 9360

Least Common Multiple of 78,720,234 with GCF Formula

Least Common Multiple of 78,720,234 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 78,720,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,720,234) = 6

common factors(in case of two or more numbers have common factors) = 234

GCF(78,720,234) x common factors =6 x 234 = 1404

LCM(78,720,234) = ( 78 × 720 × 234 ) / 1404

LCM(78,720,234) = 13141440 / 1404

LCM(78,720,234) = 9360


Lets's calculate GCF of 56,31,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/1

Therefore the LCM of Fractions 78/56,720/31,234/625 is 9360

Greatest Common Factor of 56,31,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,31,625 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 56,31,625 . The biggest common factor number is the GCF number.
So the greatest common factor 56,31,625 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 78/56, 720/31, 234/625

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 78/56, 720/31, 234/625?

Answer: LCM of Numerators as per given numbers 78/56, 720/31, 234/625 is

LCM of Numerators i.e. for 78,720,234 is 9360

GCF of denominators i.e. for 56,31,625 is 1.

Thus, LCM of Fractions is 9360.Finally, LCM of Fractions for 78/56, 720/31, 234/625 is 9360.