Least Common Multiple of 286/91, 765/37, 371/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/91, 765/37, 371/328 quickly i.e. 81171090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/91, 765/37, 371/328 is 81171090.

LCM(286/91, 765/37, 371/328) = 81171090

LCM of 286/91, 765/37, 371/328

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 286/91,765/37,371/328

Given numbers are 286/91,765/37,371/328

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 286,765,371

Least Common Multiple of Numerators i.e. LCM of 286,765,371 is 81171090.

GCF of Denominators means GCF of 91,37,328 as per the given fractions.

GCF of 91,37,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,765,371

LCM of Fractions 286/91,765/37,371/328 is 81171090

Given numbers has no common factors except 1. So, there LCM is their product i.e 81171090

Least Common Multiple of 286,765,371 with GCF Formula

Least Common Multiple of 286,765,371 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 286,765,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,765,371) = 1

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

GCF(286,765,371) x common factors =1 x 1 = 1

LCM(286,765,371) = ( 286 × 765 × 371 ) / 1

LCM(286,765,371) = 81171090 / 1

LCM(286,765,371) = 81171090


Lets's calculate GCF of 91,37,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81171090/1

Therefore the LCM of Fractions 286/91,765/37,371/328 is 81171090

Greatest Common Factor of 91,37,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,37,328 By Matching Biggest Common Factor Method

Factors of 91

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

1,7,13,91

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 91,37,328 . The biggest common factor number is the GCF number.
So the greatest common factor 91,37,328 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 286/91, 765/37, 371/328

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 286/91, 765/37, 371/328?

Answer: LCM of Numerators as per given numbers 286/91, 765/37, 371/328 is

LCM of Numerators i.e. for 286,765,371 is 81171090

GCF of denominators i.e. for 91,37,328 is 1.

Thus, LCM of Fractions is 81171090.Finally, LCM of Fractions for 286/91, 765/37, 371/328 is 81171090.