Least Common Multiple of 297/975, 2341/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/975, 2341/975 quickly i.e. 695277/975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/975, 2341/975 is 695277/975.

LCM(297/975, 2341/975) = 695277/975

LCM of 297/975, 2341/975

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 297/975,2341/975

Given numbers are 297/975,2341/975

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 297,2341

Least Common Multiple of Numerators i.e. LCM of 297,2341 is 695277.

GCF of Denominators means GCF of 975,975 as per the given fractions.

GCF of 975,975 is 975 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,2341

LCM of Fractions 297/975,2341/975 is 695277/975

Given numbers has no common factors except 1. So, there LCM is their product i.e 695277

Least Common Multiple of 297,2341 with GCF Formula

Least Common Multiple of 297,2341 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 297,2341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,2341) = 1

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

GCF(297,2341) x common factors =1 x 1 = 1

LCM(297,2341) = ( 297 × 2341 ) / 1

LCM(297,2341) = 695277 / 1

LCM(297,2341) = 695277


Lets's calculate GCF of 975,975

3 975, 975
5 325, 325
5 65, 65
13 13, 13
1, 1

∴ So the GCF of the given numbers is 3 x 5 x 5 x 13 = 975

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695277/975

Therefore the LCM of Fractions 297/975,2341/975 is 695277/975

Greatest Common Factor of 975,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,975 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 975,975 . The biggest common factor number is the GCF number.
So the greatest common factor 975,975 is 975.


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 297/975, 2341/975

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 297/975, 2341/975?

Answer: LCM of Numerators as per given numbers 297/975, 2341/975 is

LCM of Numerators i.e. for 297,2341 is 695277

GCF of denominators i.e. for 975,975 is 975.

Thus, LCM of Fractions is 695277/975.Finally, LCM of Fractions for 297/975, 2341/975 is 695277/975.