Least Common Multiple of 587/82, 548/9888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 587/82, 548/9888 quickly i.e. 160838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 587/82, 548/9888 is 160838.

LCM(587/82, 548/9888) = 160838

LCM of 587/82, 548/9888

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 587/82,548/9888

Given numbers are 587/82,548/9888

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 587,548

Least Common Multiple of Numerators i.e. LCM of 587,548 is 321676.

GCF of Denominators means GCF of 82,9888 as per the given fractions.

GCF of 82,9888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 587,548

LCM of Fractions 587/82,548/9888 is 160838

Given numbers has no common factors except 1. So, there LCM is their product i.e 321676

Least Common Multiple of 587,548 with GCF Formula

Least Common Multiple of 587,548 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 587,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,548) = 1

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

GCF(587,548) x common factors =1 x 1 = 1

LCM(587,548) = ( 587 × 548 ) / 1

LCM(587,548) = 321676 / 1

LCM(587,548) = 321676


Lets's calculate GCF of 82,9888

2 82, 9888
41, 4944

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321676/2

Therefore the LCM of Fractions 587/82,548/9888 is 160838

Greatest Common Factor of 82,9888 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,9888 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888

Greatest Common Factor

We found the factors 82,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 82,9888 is 2.


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 587/82, 548/9888

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 587/82, 548/9888?

Answer: LCM of Numerators as per given numbers 587/82, 548/9888 is

LCM of Numerators i.e. for 587,548 is 321676

GCF of denominators i.e. for 82,9888 is 2.

Thus, LCM of Fractions is 160838.Finally, LCM of Fractions for 587/82, 548/9888 is 160838.