Least Common Multiple of 3096/938, 8361/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3096/938, 8361/581 quickly i.e. 2876184/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3096/938, 8361/581 is 2876184/7.

LCM(3096/938, 8361/581) = 2876184/7

LCM of 3096/938, 8361/581

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 3096/938,8361/581

Given numbers are 3096/938,8361/581

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 3096,8361

Least Common Multiple of Numerators i.e. LCM of 3096,8361 is 2876184.

GCF of Denominators means GCF of 938,581 as per the given fractions.

GCF of 938,581 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3096,8361

LCM of Fractions 3096/938,8361/581 is 2876184/7

3 3096, 8361
3 1032, 2787
344, 929

∴ So the LCM of the given numbers is 3 x 3 x 344 x 929 = 2876184

Least Common Multiple of 3096,8361 with GCF Formula

Least Common Multiple of 3096,8361 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 3096,8361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3096,8361) = 9

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

GCF(3096,8361) x common factors =9 x 1 = 9

LCM(3096,8361) = ( 3096 × 8361 ) / 9

LCM(3096,8361) = 25885656 / 9

LCM(3096,8361) = 2876184


Lets's calculate GCF of 938,581

7 938, 581
134, 83

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2876184/7

Therefore the LCM of Fractions 3096/938,8361/581 is 2876184/7

Greatest Common Factor of 938,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,581 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 938,581 . The biggest common factor number is the GCF number.
So the greatest common factor 938,581 is 7.


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 3096/938, 8361/581

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 3096/938, 8361/581?

Answer: LCM of Numerators as per given numbers 3096/938, 8361/581 is

LCM of Numerators i.e. for 3096,8361 is 2876184

GCF of denominators i.e. for 938,581 is 7.

Thus, LCM of Fractions is 2876184/7.Finally, LCM of Fractions for 3096/938, 8361/581 is 2876184/7.