Least Common Multiple of 82/548, 517/735, 103/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/548, 517/735, 103/159 quickly i.e. 4366582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/548, 517/735, 103/159 is 4366582.

LCM(82/548, 517/735, 103/159) = 4366582

LCM of 82/548, 517/735, 103/159

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 82/548,517/735,103/159

Given numbers are 82/548,517/735,103/159

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 82,517,103

Least Common Multiple of Numerators i.e. LCM of 82,517,103 is 4366582.

GCF of Denominators means GCF of 548,735,159 as per the given fractions.

GCF of 548,735,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,517,103

LCM of Fractions 82/548,517/735,103/159 is 4366582

Given numbers has no common factors except 1. So, there LCM is their product i.e 4366582

Least Common Multiple of 82,517,103 with GCF Formula

Least Common Multiple of 82,517,103 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 82,517,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,517,103) = 1

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

GCF(82,517,103) x common factors =1 x 1 = 1

LCM(82,517,103) = ( 82 × 517 × 103 ) / 1

LCM(82,517,103) = 4366582 / 1

LCM(82,517,103) = 4366582


Lets's calculate GCF of 548,735,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4366582/1

Therefore the LCM of Fractions 82/548,517/735,103/159 is 4366582

Greatest Common Factor of 548,735,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,735,159 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 548,735,159 . The biggest common factor number is the GCF number.
So the greatest common factor 548,735,159 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 82/548, 517/735, 103/159

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 82/548, 517/735, 103/159?

Answer: LCM of Numerators as per given numbers 82/548, 517/735, 103/159 is

LCM of Numerators i.e. for 82,517,103 is 4366582

GCF of denominators i.e. for 548,735,159 is 1.

Thus, LCM of Fractions is 4366582.Finally, LCM of Fractions for 82/548, 517/735, 103/159 is 4366582.