Least Common Multiple of 2987/968, 3193/9717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2987/968, 3193/9717 quickly i.e. 92597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2987/968, 3193/9717 is 92597.

LCM(2987/968, 3193/9717) = 92597

LCM of 2987/968, 3193/9717

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 2987/968,3193/9717

Given numbers are 2987/968,3193/9717

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 2987,3193

Least Common Multiple of Numerators i.e. LCM of 2987,3193 is 92597.

GCF of Denominators means GCF of 968,9717 as per the given fractions.

GCF of 968,9717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2987,3193

LCM of Fractions 2987/968,3193/9717 is 92597

103 2987, 3193
29, 31

∴ So the LCM of the given numbers is 103 x 29 x 31 = 92597

Least Common Multiple of 2987,3193 with GCF Formula

Least Common Multiple of 2987,3193 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 2987,3193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2987,3193) = 103

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

GCF(2987,3193) x common factors =103 x 1 = 103

LCM(2987,3193) = ( 2987 × 3193 ) / 103

LCM(2987,3193) = 9537491 / 103

LCM(2987,3193) = 92597


Lets's calculate GCF of 968,9717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92597/1

Therefore the LCM of Fractions 2987/968,3193/9717 is 92597

Greatest Common Factor of 968,9717 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,9717 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 9717

List of positive integer factors of 9717 that divides 9717 without a remainder.

1,3,41,79,123,237,3239,9717

Greatest Common Factor

We found the factors 968,9717 . The biggest common factor number is the GCF number.
So the greatest common factor 968,9717 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 2987/968, 3193/9717

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 2987/968, 3193/9717?

Answer: LCM of Numerators as per given numbers 2987/968, 3193/9717 is

LCM of Numerators i.e. for 2987,3193 is 92597

GCF of denominators i.e. for 968,9717 is 1.

Thus, LCM of Fractions is 92597.Finally, LCM of Fractions for 2987/968, 3193/9717 is 92597.