Least Common Multiple of 878/31, 7527/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/31, 7527/480 quickly i.e. 6608706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/31, 7527/480 is 6608706.

LCM(878/31, 7527/480) = 6608706

LCM of 878/31, 7527/480

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 878/31,7527/480

Given numbers are 878/31,7527/480

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 878,7527

Least Common Multiple of Numerators i.e. LCM of 878,7527 is 6608706.

GCF of Denominators means GCF of 31,480 as per the given fractions.

GCF of 31,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,7527

LCM of Fractions 878/31,7527/480 is 6608706

Given numbers has no common factors except 1. So, there LCM is their product i.e 6608706

Least Common Multiple of 878,7527 with GCF Formula

Least Common Multiple of 878,7527 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 878,7527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,7527) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(878,7527) x common factors =1 x 1 = 1

LCM(878,7527) = ( 878 × 7527 ) / 1

LCM(878,7527) = 6608706 / 1

LCM(878,7527) = 6608706


Lets's calculate GCF of 31,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6608706/1

Therefore the LCM of Fractions 878/31,7527/480 is 6608706

Greatest Common Factor of 31,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,480 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 31,480 . The biggest common factor number is the GCF number.
So the greatest common factor 31,480 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 878/31, 7527/480

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 878/31, 7527/480?

Answer: LCM of Numerators as per given numbers 878/31, 7527/480 is

LCM of Numerators i.e. for 878,7527 is 6608706

GCF of denominators i.e. for 31,480 is 1.

Thus, LCM of Fractions is 6608706.Finally, LCM of Fractions for 878/31, 7527/480 is 6608706.