Least Common Multiple of 2373/765, 5097/6715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2373/765, 5097/6715 quickly i.e. 4031727/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2373/765, 5097/6715 is 4031727/85.

LCM(2373/765, 5097/6715) = 4031727/85

LCM of 2373/765, 5097/6715

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 2373/765,5097/6715

Given numbers are 2373/765,5097/6715

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 2373,5097

Least Common Multiple of Numerators i.e. LCM of 2373,5097 is 4031727.

GCF of Denominators means GCF of 765,6715 as per the given fractions.

GCF of 765,6715 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2373,5097

LCM of Fractions 2373/765,5097/6715 is 4031727/85

3 2373, 5097
791, 1699

∴ So the LCM of the given numbers is 3 x 791 x 1699 = 4031727

Least Common Multiple of 2373,5097 with GCF Formula

Least Common Multiple of 2373,5097 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 2373,5097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2373,5097) = 3

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

GCF(2373,5097) x common factors =3 x 1 = 3

LCM(2373,5097) = ( 2373 × 5097 ) / 3

LCM(2373,5097) = 12095181 / 3

LCM(2373,5097) = 4031727


Lets's calculate GCF of 765,6715

5 765, 6715
17 153, 1343
9, 79

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4031727/85

Therefore the LCM of Fractions 2373/765,5097/6715 is 4031727/85

Greatest Common Factor of 765,6715 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,6715 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 6715

List of positive integer factors of 6715 that divides 6715 without a remainder.

1,5,17,79,85,395,1343,6715

Greatest Common Factor

We found the factors 765,6715 . The biggest common factor number is the GCF number.
So the greatest common factor 765,6715 is 85.


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 2373/765, 5097/6715

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 2373/765, 5097/6715?

Answer: LCM of Numerators as per given numbers 2373/765, 5097/6715 is

LCM of Numerators i.e. for 2373,5097 is 4031727

GCF of denominators i.e. for 765,6715 is 85.

Thus, LCM of Fractions is 4031727/85.Finally, LCM of Fractions for 2373/765, 5097/6715 is 4031727/85.