Least Common Multiple of 868/720, 7285/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/720, 7285/265 quickly i.e. 40796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/720, 7285/265 is 40796.

LCM(868/720, 7285/265) = 40796

LCM of 868/720, 7285/265

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 868/720,7285/265

Given numbers are 868/720,7285/265

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 868,7285

Least Common Multiple of Numerators i.e. LCM of 868,7285 is 203980.

GCF of Denominators means GCF of 720,265 as per the given fractions.

GCF of 720,265 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,7285

LCM of Fractions 868/720,7285/265 is 40796

31 868, 7285
28, 235

∴ So the LCM of the given numbers is 31 x 28 x 235 = 203980

Least Common Multiple of 868,7285 with GCF Formula

Least Common Multiple of 868,7285 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 868,7285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,7285) = 31

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

GCF(868,7285) x common factors =31 x 1 = 31

LCM(868,7285) = ( 868 × 7285 ) / 31

LCM(868,7285) = 6323380 / 31

LCM(868,7285) = 203980


Lets's calculate GCF of 720,265

5 720, 265
144, 53

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203980/5

Therefore the LCM of Fractions 868/720,7285/265 is 40796

Greatest Common Factor of 720,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,265 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 720,265 . The biggest common factor number is the GCF number.
So the greatest common factor 720,265 is 5.


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 868/720, 7285/265

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 868/720, 7285/265?

Answer: LCM of Numerators as per given numbers 868/720, 7285/265 is

LCM of Numerators i.e. for 868,7285 is 203980

GCF of denominators i.e. for 720,265 is 5.

Thus, LCM of Fractions is 40796.Finally, LCM of Fractions for 868/720, 7285/265 is 40796.