Least Common Multiple of 504/78, 740/10, 871/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/78, 740/10, 871/56 quickly i.e. 40606020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/78, 740/10, 871/56 is 40606020.

LCM(504/78, 740/10, 871/56) = 40606020

LCM of 504/78, 740/10, 871/56

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 504/78,740/10,871/56

Given numbers are 504/78,740/10,871/56

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 504,740,871

Least Common Multiple of Numerators i.e. LCM of 504,740,871 is 81212040.

GCF of Denominators means GCF of 78,10,56 as per the given fractions.

GCF of 78,10,56 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,740,871

LCM of Fractions 504/78,740/10,871/56 is 40606020

2 504, 740, 871
2 252, 370, 871
126, 185, 871

∴ So the LCM of the given numbers is 2 x 2 x 126 x 185 x 871 = 81212040

Least Common Multiple of 504,740,871 with GCF Formula

Least Common Multiple of 504,740,871 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 504,740,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,740,871) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(504,740,871) x common factors =1 x 4 = 4

LCM(504,740,871) = ( 504 × 740 × 871 ) / 4

LCM(504,740,871) = 324848160 / 4

LCM(504,740,871) = 81212040


Lets's calculate GCF of 78,10,56

2 78, 10, 56
39, 5, 28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81212040/2

Therefore the LCM of Fractions 504/78,740/10,871/56 is 40606020

Greatest Common Factor of 78,10,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,10,56 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 56

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

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

Greatest Common Factor

We found the factors 78,10,56 . The biggest common factor number is the GCF number.
So the greatest common factor 78,10,56 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 504/78, 740/10, 871/56

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 504/78, 740/10, 871/56?

Answer: LCM of Numerators as per given numbers 504/78, 740/10, 871/56 is

LCM of Numerators i.e. for 504,740,871 is 81212040

GCF of denominators i.e. for 78,10,56 is 2.

Thus, LCM of Fractions is 40606020.Finally, LCM of Fractions for 504/78, 740/10, 871/56 is 40606020.