Least Common Multiple of 27/40, 74/91, 59/59, 53/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/40, 74/91, 59/59, 53/771 quickly i.e. 6247746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/40, 74/91, 59/59, 53/771 is 6247746.

LCM(27/40, 74/91, 59/59, 53/771) = 6247746

LCM of 27/40, 74/91, 59/59, 53/771

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 27/40,74/91,59/59,53/771

Given numbers are 27/40,74/91,59/59,53/771

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 27,74,59,53

Least Common Multiple of Numerators i.e. LCM of 27,74,59,53 is 6247746.

GCF of Denominators means GCF of 40,91,59,771 as per the given fractions.

GCF of 40,91,59,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,74,59,53

LCM of Fractions 27/40,74/91,59/59,53/771 is 6247746

Given numbers has no common factors except 1. So, there LCM is their product i.e 6247746

Least Common Multiple of 27,74,59,53 with GCF Formula

Least Common Multiple of 27,74,59,53 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 27,74,59,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,74,59,53) = 1

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

GCF(27,74,59,53) x common factors =1 x 1 = 1

LCM(27,74,59,53) = ( 27 × 74 × 59 × 53 ) / 1

LCM(27,74,59,53) = 6247746 / 1

LCM(27,74,59,53) = 6247746


Lets's calculate GCF of 40,91,59,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6247746/1

Therefore the LCM of Fractions 27/40,74/91,59/59,53/771 is 6247746

Greatest Common Factor of 40,91,59,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,91,59,771 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 40,91,59,771 . The biggest common factor number is the GCF number.
So the greatest common factor 40,91,59,771 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 27/40, 74/91, 59/59, 53/771

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 27/40, 74/91, 59/59, 53/771?

Answer: LCM of Numerators as per given numbers 27/40, 74/91, 59/59, 53/771 is

LCM of Numerators i.e. for 27,74,59,53 is 6247746

GCF of denominators i.e. for 40,91,59,771 is 1.

Thus, LCM of Fractions is 6247746.Finally, LCM of Fractions for 27/40, 74/91, 59/59, 53/771 is 6247746.