Least Common Multiple of 297/891, 5701/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/891, 5701/615 quickly i.e. 564399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/891, 5701/615 is 564399.

LCM(297/891, 5701/615) = 564399

LCM of 297/891, 5701/615

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 297/891,5701/615

Given numbers are 297/891,5701/615

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 297,5701

Least Common Multiple of Numerators i.e. LCM of 297,5701 is 1693197.

GCF of Denominators means GCF of 891,615 as per the given fractions.

GCF of 891,615 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,5701

LCM of Fractions 297/891,5701/615 is 564399

Given numbers has no common factors except 1. So, there LCM is their product i.e 1693197

Least Common Multiple of 297,5701 with GCF Formula

Least Common Multiple of 297,5701 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 297,5701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,5701) = 1

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

GCF(297,5701) x common factors =1 x 1 = 1

LCM(297,5701) = ( 297 × 5701 ) / 1

LCM(297,5701) = 1693197 / 1

LCM(297,5701) = 1693197


Lets's calculate GCF of 891,615

3 891, 615
297, 205

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1693197/3

Therefore the LCM of Fractions 297/891,5701/615 is 564399

Greatest Common Factor of 891,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,615 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 891,615 . The biggest common factor number is the GCF number.
So the greatest common factor 891,615 is 3.


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 297/891, 5701/615

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 297/891, 5701/615?

Answer: LCM of Numerators as per given numbers 297/891, 5701/615 is

LCM of Numerators i.e. for 297,5701 is 1693197

GCF of denominators i.e. for 891,615 is 3.

Thus, LCM of Fractions is 564399.Finally, LCM of Fractions for 297/891, 5701/615 is 564399.