Least Common Multiple of 4695/915, 8665/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4695/915, 8665/339 quickly i.e. 2712145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4695/915, 8665/339 is 2712145.

LCM(4695/915, 8665/339) = 2712145

LCM of 4695/915, 8665/339

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 4695/915,8665/339

Given numbers are 4695/915,8665/339

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 4695,8665

Least Common Multiple of Numerators i.e. LCM of 4695,8665 is 8136435.

GCF of Denominators means GCF of 915,339 as per the given fractions.

GCF of 915,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4695,8665

LCM of Fractions 4695/915,8665/339 is 2712145

5 4695, 8665
939, 1733

∴ So the LCM of the given numbers is 5 x 939 x 1733 = 8136435

Least Common Multiple of 4695,8665 with GCF Formula

Least Common Multiple of 4695,8665 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 4695,8665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4695,8665) = 5

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

GCF(4695,8665) x common factors =5 x 1 = 5

LCM(4695,8665) = ( 4695 × 8665 ) / 5

LCM(4695,8665) = 40682175 / 5

LCM(4695,8665) = 8136435


Lets's calculate GCF of 915,339

3 915, 339
305, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8136435/3

Therefore the LCM of Fractions 4695/915,8665/339 is 2712145

Greatest Common Factor of 915,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,339 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 915,339 . The biggest common factor number is the GCF number.
So the greatest common factor 915,339 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 4695/915, 8665/339

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 4695/915, 8665/339?

Answer: LCM of Numerators as per given numbers 4695/915, 8665/339 is

LCM of Numerators i.e. for 4695,8665 is 8136435

GCF of denominators i.e. for 915,339 is 3.

Thus, LCM of Fractions is 2712145.Finally, LCM of Fractions for 4695/915, 8665/339 is 2712145.