Least Common Multiple of 78/825, 31/616, 371/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/825, 31/616, 371/943 quickly i.e. 897078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/825, 31/616, 371/943 is 897078.

LCM(78/825, 31/616, 371/943) = 897078

LCM of 78/825, 31/616, 371/943

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 78/825,31/616,371/943

Given numbers are 78/825,31/616,371/943

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 78,31,371

Least Common Multiple of Numerators i.e. LCM of 78,31,371 is 897078.

GCF of Denominators means GCF of 825,616,943 as per the given fractions.

GCF of 825,616,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,31,371

LCM of Fractions 78/825,31/616,371/943 is 897078

Given numbers has no common factors except 1. So, there LCM is their product i.e 897078

Least Common Multiple of 78,31,371 with GCF Formula

Least Common Multiple of 78,31,371 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 78,31,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,31,371) = 1

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

GCF(78,31,371) x common factors =1 x 1 = 1

LCM(78,31,371) = ( 78 × 31 × 371 ) / 1

LCM(78,31,371) = 897078 / 1

LCM(78,31,371) = 897078


Lets's calculate GCF of 825,616,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897078/1

Therefore the LCM of Fractions 78/825,31/616,371/943 is 897078

Greatest Common Factor of 825,616,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,616,943 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 825,616,943 . The biggest common factor number is the GCF number.
So the greatest common factor 825,616,943 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 78/825, 31/616, 371/943

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 78/825, 31/616, 371/943?

Answer: LCM of Numerators as per given numbers 78/825, 31/616, 371/943 is

LCM of Numerators i.e. for 78,31,371 is 897078

GCF of denominators i.e. for 825,616,943 is 1.

Thus, LCM of Fractions is 897078.Finally, LCM of Fractions for 78/825, 31/616, 371/943 is 897078.