Least Common Multiple of 82/273, 8529/8517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/273, 8529/8517 quickly i.e. 233126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/273, 8529/8517 is 233126.

LCM(82/273, 8529/8517) = 233126

LCM of 82/273, 8529/8517

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 82/273,8529/8517

Given numbers are 82/273,8529/8517

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 82,8529

Least Common Multiple of Numerators i.e. LCM of 82,8529 is 699378.

GCF of Denominators means GCF of 273,8517 as per the given fractions.

GCF of 273,8517 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,8529

LCM of Fractions 82/273,8529/8517 is 233126

Given numbers has no common factors except 1. So, there LCM is their product i.e 699378

Least Common Multiple of 82,8529 with GCF Formula

Least Common Multiple of 82,8529 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 82,8529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,8529) = 1

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

GCF(82,8529) x common factors =1 x 1 = 1

LCM(82,8529) = ( 82 × 8529 ) / 1

LCM(82,8529) = 699378 / 1

LCM(82,8529) = 699378


Lets's calculate GCF of 273,8517

3 273, 8517
91, 2839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699378/3

Therefore the LCM of Fractions 82/273,8529/8517 is 233126

Greatest Common Factor of 273,8517 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,8517 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 8517

List of positive integer factors of 8517 that divides 8517 without a remainder.

1,3,17,51,167,501,2839,8517

Greatest Common Factor

We found the factors 273,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 273,8517 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 82/273, 8529/8517

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 82/273, 8529/8517?

Answer: LCM of Numerators as per given numbers 82/273, 8529/8517 is

LCM of Numerators i.e. for 82,8529 is 699378

GCF of denominators i.e. for 273,8517 is 3.

Thus, LCM of Fractions is 233126.Finally, LCM of Fractions for 82/273, 8529/8517 is 233126.