Least Common Multiple of 942/968, 6187/9075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/968, 6187/9075 quickly i.e. 5828154/121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/968, 6187/9075 is 5828154/121.

LCM(942/968, 6187/9075) = 5828154/121

LCM of 942/968, 6187/9075

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 942/968,6187/9075

Given numbers are 942/968,6187/9075

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 942,6187

Least Common Multiple of Numerators i.e. LCM of 942,6187 is 5828154.

GCF of Denominators means GCF of 968,9075 as per the given fractions.

GCF of 968,9075 is 121 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,6187

LCM of Fractions 942/968,6187/9075 is 5828154/121

Given numbers has no common factors except 1. So, there LCM is their product i.e 5828154

Least Common Multiple of 942,6187 with GCF Formula

Least Common Multiple of 942,6187 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 942,6187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,6187) = 1

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

GCF(942,6187) x common factors =1 x 1 = 1

LCM(942,6187) = ( 942 × 6187 ) / 1

LCM(942,6187) = 5828154 / 1

LCM(942,6187) = 5828154


Lets's calculate GCF of 968,9075

11 968, 9075
11 88, 825
8, 75

∴ So the GCF of the given numbers is 11 x 11 = 121

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5828154/121

Therefore the LCM of Fractions 942/968,6187/9075 is 5828154/121

Greatest Common Factor of 968,9075 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,9075 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075

Greatest Common Factor

We found the factors 968,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 968,9075 is 121.


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 942/968, 6187/9075

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 942/968, 6187/9075?

Answer: LCM of Numerators as per given numbers 942/968, 6187/9075 is

LCM of Numerators i.e. for 942,6187 is 5828154

GCF of denominators i.e. for 968,9075 is 121.

Thus, LCM of Fractions is 5828154/121.Finally, LCM of Fractions for 942/968, 6187/9075 is 5828154/121.