Least Common Multiple of 82/540, 517/107, 153/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/540, 517/107, 153/365 quickly i.e. 6486282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/540, 517/107, 153/365 is 6486282.

LCM(82/540, 517/107, 153/365) = 6486282

LCM of 82/540, 517/107, 153/365

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 82/540,517/107,153/365

Given numbers are 82/540,517/107,153/365

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 82,517,153

Least Common Multiple of Numerators i.e. LCM of 82,517,153 is 6486282.

GCF of Denominators means GCF of 540,107,365 as per the given fractions.

GCF of 540,107,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,517,153

LCM of Fractions 82/540,517/107,153/365 is 6486282

Given numbers has no common factors except 1. So, there LCM is their product i.e 6486282

Least Common Multiple of 82,517,153 with GCF Formula

Least Common Multiple of 82,517,153 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 82,517,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,517,153) = 1

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

GCF(82,517,153) x common factors =1 x 1 = 1

LCM(82,517,153) = ( 82 × 517 × 153 ) / 1

LCM(82,517,153) = 6486282 / 1

LCM(82,517,153) = 6486282


Lets's calculate GCF of 540,107,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6486282/1

Therefore the LCM of Fractions 82/540,517/107,153/365 is 6486282

Greatest Common Factor of 540,107,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,107,365 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 540,107,365 . The biggest common factor number is the GCF number.
So the greatest common factor 540,107,365 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 82/540, 517/107, 153/365

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 82/540, 517/107, 153/365?

Answer: LCM of Numerators as per given numbers 82/540, 517/107, 153/365 is

LCM of Numerators i.e. for 82,517,153 is 6486282

GCF of denominators i.e. for 540,107,365 is 1.

Thus, LCM of Fractions is 6486282.Finally, LCM of Fractions for 82/540, 517/107, 153/365 is 6486282.