Least Common Multiple of 327/783, 9265/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/783, 9265/897 quickly i.e. 9265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/783, 9265/897 is 9265.

LCM(327/783, 9265/897) = 9265

LCM of 327/783, 9265/897

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 327/783,9265/897

Given numbers are 327/783,9265/897

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 327,9265

Least Common Multiple of Numerators i.e. LCM of 327,9265 is 27795.

GCF of Denominators means GCF of 783,897 as per the given fractions.

GCF of 783,897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,9265

LCM of Fractions 327/783,9265/897 is 9265

109 327, 9265
3, 85

∴ So the LCM of the given numbers is 109 x 3 x 85 = 27795

Least Common Multiple of 327,9265 with GCF Formula

Least Common Multiple of 327,9265 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 327,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,9265) = 109

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

GCF(327,9265) x common factors =109 x 1 = 109

LCM(327,9265) = ( 327 × 9265 ) / 109

LCM(327,9265) = 3029655 / 109

LCM(327,9265) = 27795


Lets's calculate GCF of 783,897

3 783, 897
261, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27795/3

Therefore the LCM of Fractions 327/783,9265/897 is 9265

Greatest Common Factor of 783,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,897 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 783,897 . The biggest common factor number is the GCF number.
So the greatest common factor 783,897 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 327/783, 9265/897

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 327/783, 9265/897?

Answer: LCM of Numerators as per given numbers 327/783, 9265/897 is

LCM of Numerators i.e. for 327,9265 is 27795

GCF of denominators i.e. for 783,897 is 3.

Thus, LCM of Fractions is 9265.Finally, LCM of Fractions for 327/783, 9265/897 is 9265.