Least Common Multiple of 297/66, 8305/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/66, 8305/945 quickly i.e. 74745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/66, 8305/945 is 74745.

LCM(297/66, 8305/945) = 74745

LCM of 297/66, 8305/945

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 297/66,8305/945

Given numbers are 297/66,8305/945

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 297,8305

Least Common Multiple of Numerators i.e. LCM of 297,8305 is 224235.

GCF of Denominators means GCF of 66,945 as per the given fractions.

GCF of 66,945 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,8305

LCM of Fractions 297/66,8305/945 is 74745

11 297, 8305
27, 755

∴ So the LCM of the given numbers is 11 x 27 x 755 = 224235

Least Common Multiple of 297,8305 with GCF Formula

Least Common Multiple of 297,8305 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 297,8305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,8305) = 11

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

GCF(297,8305) x common factors =11 x 1 = 11

LCM(297,8305) = ( 297 × 8305 ) / 11

LCM(297,8305) = 2466585 / 11

LCM(297,8305) = 224235


Lets's calculate GCF of 66,945

3 66, 945
22, 315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224235/3

Therefore the LCM of Fractions 297/66,8305/945 is 74745

Greatest Common Factor of 66,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,945 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 66,945 . The biggest common factor number is the GCF number.
So the greatest common factor 66,945 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 297/66, 8305/945

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 297/66, 8305/945?

Answer: LCM of Numerators as per given numbers 297/66, 8305/945 is

LCM of Numerators i.e. for 297,8305 is 224235

GCF of denominators i.e. for 66,945 is 3.

Thus, LCM of Fractions is 74745.Finally, LCM of Fractions for 297/66, 8305/945 is 74745.