Least Common Multiple of 865/344, 865/517, 307/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 865/344, 865/517, 307/809 quickly i.e. 265555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/344, 865/517, 307/809 is 265555.

LCM(865/344, 865/517, 307/809) = 265555

LCM of 865/344, 865/517, 307/809

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 865/344,865/517,307/809

Given numbers are 865/344,865/517,307/809

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 865,865,307

Least Common Multiple of Numerators i.e. LCM of 865,865,307 is 265555.

GCF of Denominators means GCF of 344,517,809 as per the given fractions.

GCF of 344,517,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,865,307

LCM of Fractions 865/344,865/517,307/809 is 265555

5 865, 865, 307
173 173, 173, 307
1, 1, 307

∴ So the LCM of the given numbers is 5 x 173 x 1 x 1 x 307 = 265555

Least Common Multiple of 865,865,307 with GCF Formula

Least Common Multiple of 865,865,307 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 865,865,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,865,307) = 1

common factors(in case of two or more numbers have common factors) = 865

GCF(865,865,307) x common factors =1 x 865 = 865

LCM(865,865,307) = ( 865 × 865 × 307 ) / 865

LCM(865,865,307) = 229705075 / 865

LCM(865,865,307) = 265555


Lets's calculate GCF of 344,517,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265555/1

Therefore the LCM of Fractions 865/344,865/517,307/809 is 265555

Greatest Common Factor of 344,517,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,517,809 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 344,517,809 . The biggest common factor number is the GCF number.
So the greatest common factor 344,517,809 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 865/344, 865/517, 307/809

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 865/344, 865/517, 307/809?

Answer: LCM of Numerators as per given numbers 865/344, 865/517, 307/809 is

LCM of Numerators i.e. for 865,865,307 is 265555

GCF of denominators i.e. for 344,517,809 is 1.

Thus, LCM of Fractions is 265555.Finally, LCM of Fractions for 865/344, 865/517, 307/809 is 265555.