Least Common Multiple of 865/34, 848/15, 521/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 865/34, 848/15, 521/794 quickly i.e. 382163920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/34, 848/15, 521/794 is 382163920.

LCM(865/34, 848/15, 521/794) = 382163920

LCM of 865/34, 848/15, 521/794

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 865/34,848/15,521/794

Given numbers are 865/34,848/15,521/794

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 865,848,521

Least Common Multiple of Numerators i.e. LCM of 865,848,521 is 382163920.

GCF of Denominators means GCF of 34,15,794 as per the given fractions.

GCF of 34,15,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,848,521

LCM of Fractions 865/34,848/15,521/794 is 382163920

Given numbers has no common factors except 1. So, there LCM is their product i.e 382163920

Least Common Multiple of 865,848,521 with GCF Formula

Least Common Multiple of 865,848,521 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 865,848,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,848,521) = 1

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

GCF(865,848,521) x common factors =1 x 1 = 1

LCM(865,848,521) = ( 865 × 848 × 521 ) / 1

LCM(865,848,521) = 382163920 / 1

LCM(865,848,521) = 382163920


Lets's calculate GCF of 34,15,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382163920/1

Therefore the LCM of Fractions 865/34,848/15,521/794 is 382163920

Greatest Common Factor of 34,15,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,15,794 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 34,15,794 . The biggest common factor number is the GCF number.
So the greatest common factor 34,15,794 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 865/34, 848/15, 521/794

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 865/34, 848/15, 521/794?

Answer: LCM of Numerators as per given numbers 865/34, 848/15, 521/794 is

LCM of Numerators i.e. for 865,848,521 is 382163920

GCF of denominators i.e. for 34,15,794 is 1.

Thus, LCM of Fractions is 382163920.Finally, LCM of Fractions for 865/34, 848/15, 521/794 is 382163920.