Least Common Multiple of 40/391, 1977/5198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/391, 1977/5198 quickly i.e. 79080/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/391, 1977/5198 is 79080/23.

LCM(40/391, 1977/5198) = 79080/23

LCM of 40/391, 1977/5198

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 40/391,1977/5198

Given numbers are 40/391,1977/5198

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 40,1977

Least Common Multiple of Numerators i.e. LCM of 40,1977 is 79080.

GCF of Denominators means GCF of 391,5198 as per the given fractions.

GCF of 391,5198 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,1977

LCM of Fractions 40/391,1977/5198 is 79080/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 79080

Least Common Multiple of 40,1977 with GCF Formula

Least Common Multiple of 40,1977 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 40,1977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,1977) = 1

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

GCF(40,1977) x common factors =1 x 1 = 1

LCM(40,1977) = ( 40 × 1977 ) / 1

LCM(40,1977) = 79080 / 1

LCM(40,1977) = 79080


Lets's calculate GCF of 391,5198

23 391, 5198
17, 226

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79080/23

Therefore the LCM of Fractions 40/391,1977/5198 is 79080/23

Greatest Common Factor of 391,5198 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,5198 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 5198

List of positive integer factors of 5198 that divides 5198 without a remainder.

1,2,23,46,113,226,2599,5198

Greatest Common Factor

We found the factors 391,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 391,5198 is 23.


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 40/391, 1977/5198

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 40/391, 1977/5198?

Answer: LCM of Numerators as per given numbers 40/391, 1977/5198 is

LCM of Numerators i.e. for 40,1977 is 79080

GCF of denominators i.e. for 391,5198 is 23.

Thus, LCM of Fractions is 79080/23.Finally, LCM of Fractions for 40/391, 1977/5198 is 79080/23.