Least Common Multiple of 297/97, 363/72, 352/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/97, 363/72, 352/852 quickly i.e. 104544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/97, 363/72, 352/852 is 104544.

LCM(297/97, 363/72, 352/852) = 104544

LCM of 297/97, 363/72, 352/852

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 297/97,363/72,352/852

Given numbers are 297/97,363/72,352/852

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 297,363,352

Least Common Multiple of Numerators i.e. LCM of 297,363,352 is 104544.

GCF of Denominators means GCF of 97,72,852 as per the given fractions.

GCF of 97,72,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,363,352

LCM of Fractions 297/97,363/72,352/852 is 104544

3 297, 363, 352
11 99, 121, 352
9, 11, 32

∴ So the LCM of the given numbers is 3 x 11 x 9 x 11 x 32 = 104544

Least Common Multiple of 297,363,352 with GCF Formula

Least Common Multiple of 297,363,352 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 297,363,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,363,352) = 11

common factors(in case of two or more numbers have common factors) = 33

GCF(297,363,352) x common factors =11 x 33 = 363

LCM(297,363,352) = ( 297 × 363 × 352 ) / 363

LCM(297,363,352) = 37949472 / 363

LCM(297,363,352) = 104544


Lets's calculate GCF of 97,72,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104544/1

Therefore the LCM of Fractions 297/97,363/72,352/852 is 104544

Greatest Common Factor of 97,72,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,72,852 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 97,72,852 . The biggest common factor number is the GCF number.
So the greatest common factor 97,72,852 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 297/97, 363/72, 352/852

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 297/97, 363/72, 352/852?

Answer: LCM of Numerators as per given numbers 297/97, 363/72, 352/852 is

LCM of Numerators i.e. for 297,363,352 is 104544

GCF of denominators i.e. for 97,72,852 is 1.

Thus, LCM of Fractions is 104544.Finally, LCM of Fractions for 297/97, 363/72, 352/852 is 104544.