Least Common Multiple of 4138/959, 9717/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4138/959, 9717/422 quickly i.e. 40208946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4138/959, 9717/422 is 40208946.

LCM(4138/959, 9717/422) = 40208946

LCM of 4138/959, 9717/422

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 4138/959,9717/422

Given numbers are 4138/959,9717/422

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 4138,9717

Least Common Multiple of Numerators i.e. LCM of 4138,9717 is 40208946.

GCF of Denominators means GCF of 959,422 as per the given fractions.

GCF of 959,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4138,9717

LCM of Fractions 4138/959,9717/422 is 40208946

Given numbers has no common factors except 1. So, there LCM is their product i.e 40208946

Least Common Multiple of 4138,9717 with GCF Formula

Least Common Multiple of 4138,9717 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 4138,9717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4138,9717) = 1

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

GCF(4138,9717) x common factors =1 x 1 = 1

LCM(4138,9717) = ( 4138 × 9717 ) / 1

LCM(4138,9717) = 40208946 / 1

LCM(4138,9717) = 40208946


Lets's calculate GCF of 959,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40208946/1

Therefore the LCM of Fractions 4138/959,9717/422 is 40208946

Greatest Common Factor of 959,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,422 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 959,422 . The biggest common factor number is the GCF number.
So the greatest common factor 959,422 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 4138/959, 9717/422

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 4138/959, 9717/422?

Answer: LCM of Numerators as per given numbers 4138/959, 9717/422 is

LCM of Numerators i.e. for 4138,9717 is 40208946

GCF of denominators i.e. for 959,422 is 1.

Thus, LCM of Fractions is 40208946.Finally, LCM of Fractions for 4138/959, 9717/422 is 40208946.