Least Common Multiple of 371/87, 968/27, 755/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 371/87, 968/27, 755/235 quickly i.e. 271141640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/87, 968/27, 755/235 is 271141640.

LCM(371/87, 968/27, 755/235) = 271141640

LCM of 371/87, 968/27, 755/235

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 371/87,968/27,755/235

Given numbers are 371/87,968/27,755/235

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 371,968,755

Least Common Multiple of Numerators i.e. LCM of 371,968,755 is 271141640.

GCF of Denominators means GCF of 87,27,235 as per the given fractions.

GCF of 87,27,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,968,755

LCM of Fractions 371/87,968/27,755/235 is 271141640

Given numbers has no common factors except 1. So, there LCM is their product i.e 271141640

Least Common Multiple of 371,968,755 with GCF Formula

Least Common Multiple of 371,968,755 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 371,968,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,968,755) = 1

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

GCF(371,968,755) x common factors =1 x 1 = 1

LCM(371,968,755) = ( 371 × 968 × 755 ) / 1

LCM(371,968,755) = 271141640 / 1

LCM(371,968,755) = 271141640


Lets's calculate GCF of 87,27,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271141640/1

Therefore the LCM of Fractions 371/87,968/27,755/235 is 271141640

Greatest Common Factor of 87,27,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,27,235 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 87,27,235 . The biggest common factor number is the GCF number.
So the greatest common factor 87,27,235 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 371/87, 968/27, 755/235

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 371/87, 968/27, 755/235?

Answer: LCM of Numerators as per given numbers 371/87, 968/27, 755/235 is

LCM of Numerators i.e. for 371,968,755 is 271141640

GCF of denominators i.e. for 87,27,235 is 1.

Thus, LCM of Fractions is 271141640.Finally, LCM of Fractions for 371/87, 968/27, 755/235 is 271141640.