Least Common Multiple of 27/400, 845/959, 394/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 27/400, 845/959, 394/744 quickly i.e. 8989110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/400, 845/959, 394/744 is 8989110.

LCM(27/400, 845/959, 394/744) = 8989110

LCM of 27/400, 845/959, 394/744

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 27/400,845/959,394/744

Given numbers are 27/400,845/959,394/744

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 27,845,394

Least Common Multiple of Numerators i.e. LCM of 27,845,394 is 8989110.

GCF of Denominators means GCF of 400,959,744 as per the given fractions.

GCF of 400,959,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,845,394

LCM of Fractions 27/400,845/959,394/744 is 8989110

Given numbers has no common factors except 1. So, there LCM is their product i.e 8989110

Least Common Multiple of 27,845,394 with GCF Formula

Least Common Multiple of 27,845,394 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 27,845,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,845,394) = 1

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

GCF(27,845,394) x common factors =1 x 1 = 1

LCM(27,845,394) = ( 27 × 845 × 394 ) / 1

LCM(27,845,394) = 8989110 / 1

LCM(27,845,394) = 8989110


Lets's calculate GCF of 400,959,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8989110/1

Therefore the LCM of Fractions 27/400,845/959,394/744 is 8989110

Greatest Common Factor of 400,959,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,959,744 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 400,959,744 . The biggest common factor number is the GCF number.
So the greatest common factor 400,959,744 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 27/400, 845/959, 394/744

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 27/400, 845/959, 394/744?

Answer: LCM of Numerators as per given numbers 27/400, 845/959, 394/744 is

LCM of Numerators i.e. for 27,845,394 is 8989110

GCF of denominators i.e. for 400,959,744 is 1.

Thus, LCM of Fractions is 8989110.Finally, LCM of Fractions for 27/400, 845/959, 394/744 is 8989110.