Least Common Multiple of 28/643, 5259/8582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/643, 5259/8582 quickly i.e. 147252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/643, 5259/8582 is 147252.

LCM(28/643, 5259/8582) = 147252

LCM of 28/643, 5259/8582

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 28/643,5259/8582

Given numbers are 28/643,5259/8582

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 28,5259

Least Common Multiple of Numerators i.e. LCM of 28,5259 is 147252.

GCF of Denominators means GCF of 643,8582 as per the given fractions.

GCF of 643,8582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,5259

LCM of Fractions 28/643,5259/8582 is 147252

Given numbers has no common factors except 1. So, there LCM is their product i.e 147252

Least Common Multiple of 28,5259 with GCF Formula

Least Common Multiple of 28,5259 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 28,5259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,5259) = 1

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

GCF(28,5259) x common factors =1 x 1 = 1

LCM(28,5259) = ( 28 × 5259 ) / 1

LCM(28,5259) = 147252 / 1

LCM(28,5259) = 147252


Lets's calculate GCF of 643,8582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147252/1

Therefore the LCM of Fractions 28/643,5259/8582 is 147252

Greatest Common Factor of 643,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,8582 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 643,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 643,8582 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 28/643, 5259/8582

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 28/643, 5259/8582?

Answer: LCM of Numerators as per given numbers 28/643, 5259/8582 is

LCM of Numerators i.e. for 28,5259 is 147252

GCF of denominators i.e. for 643,8582 is 1.

Thus, LCM of Fractions is 147252.Finally, LCM of Fractions for 28/643, 5259/8582 is 147252.