Least Common Multiple of 78/47, 57/44, 406/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/47, 57/44, 406/676 quickly i.e. 300846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/47, 57/44, 406/676 is 300846.

LCM(78/47, 57/44, 406/676) = 300846

LCM of 78/47, 57/44, 406/676

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 78/47,57/44,406/676

Given numbers are 78/47,57/44,406/676

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 78,57,406

Least Common Multiple of Numerators i.e. LCM of 78,57,406 is 300846.

GCF of Denominators means GCF of 47,44,676 as per the given fractions.

GCF of 47,44,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,57,406

LCM of Fractions 78/47,57/44,406/676 is 300846

2 78, 57, 406
3 39, 57, 203
13, 19, 203

∴ So the LCM of the given numbers is 2 x 3 x 13 x 19 x 203 = 300846

Least Common Multiple of 78,57,406 with GCF Formula

Least Common Multiple of 78,57,406 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 78,57,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,57,406) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,57,406) x common factors =1 x 6 = 6

LCM(78,57,406) = ( 78 × 57 × 406 ) / 6

LCM(78,57,406) = 1805076 / 6

LCM(78,57,406) = 300846


Lets's calculate GCF of 47,44,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300846/1

Therefore the LCM of Fractions 78/47,57/44,406/676 is 300846

Greatest Common Factor of 47,44,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,44,676 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 47,44,676 . The biggest common factor number is the GCF number.
So the greatest common factor 47,44,676 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 78/47, 57/44, 406/676

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 78/47, 57/44, 406/676?

Answer: LCM of Numerators as per given numbers 78/47, 57/44, 406/676 is

LCM of Numerators i.e. for 78,57,406 is 300846

GCF of denominators i.e. for 47,44,676 is 1.

Thus, LCM of Fractions is 300846.Finally, LCM of Fractions for 78/47, 57/44, 406/676 is 300846.