Least Common Multiple of 91/938, 2378/4361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/938, 2378/4361 quickly i.e. 30914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/938, 2378/4361 is 30914.

LCM(91/938, 2378/4361) = 30914

LCM of 91/938, 2378/4361

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 91/938,2378/4361

Given numbers are 91/938,2378/4361

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 91,2378

Least Common Multiple of Numerators i.e. LCM of 91,2378 is 216398.

GCF of Denominators means GCF of 938,4361 as per the given fractions.

GCF of 938,4361 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,2378

LCM of Fractions 91/938,2378/4361 is 30914

Given numbers has no common factors except 1. So, there LCM is their product i.e 216398

Least Common Multiple of 91,2378 with GCF Formula

Least Common Multiple of 91,2378 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 91,2378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,2378) = 1

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

GCF(91,2378) x common factors =1 x 1 = 1

LCM(91,2378) = ( 91 × 2378 ) / 1

LCM(91,2378) = 216398 / 1

LCM(91,2378) = 216398


Lets's calculate GCF of 938,4361

7 938, 4361
134, 623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216398/7

Therefore the LCM of Fractions 91/938,2378/4361 is 30914

Greatest Common Factor of 938,4361 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,4361 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 4361

List of positive integer factors of 4361 that divides 4361 without a remainder.

1,7,49,89,623,4361

Greatest Common Factor

We found the factors 938,4361 . The biggest common factor number is the GCF number.
So the greatest common factor 938,4361 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 91/938, 2378/4361

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 91/938, 2378/4361?

Answer: LCM of Numerators as per given numbers 91/938, 2378/4361 is

LCM of Numerators i.e. for 91,2378 is 216398

GCF of denominators i.e. for 938,4361 is 7.

Thus, LCM of Fractions is 30914.Finally, LCM of Fractions for 91/938, 2378/4361 is 30914.