Least Common Multiple of 87/50, 99/783, 522/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/50, 99/783, 522/281 quickly i.e. 5742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/50, 99/783, 522/281 is 5742.

LCM(87/50, 99/783, 522/281) = 5742

LCM of 87/50, 99/783, 522/281

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 87/50,99/783,522/281

Given numbers are 87/50,99/783,522/281

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 87,99,522

Least Common Multiple of Numerators i.e. LCM of 87,99,522 is 5742.

GCF of Denominators means GCF of 50,783,281 as per the given fractions.

GCF of 50,783,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,99,522

LCM of Fractions 87/50,99/783,522/281 is 5742

3 87, 99, 522
3 29, 33, 174
29 29, 11, 58
1, 11, 2

∴ So the LCM of the given numbers is 3 x 3 x 29 x 1 x 11 x 2 = 5742

Least Common Multiple of 87,99,522 with GCF Formula

Least Common Multiple of 87,99,522 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 87,99,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,99,522) = 3

common factors(in case of two or more numbers have common factors) = 261

GCF(87,99,522) x common factors =3 x 261 = 783

LCM(87,99,522) = ( 87 × 99 × 522 ) / 783

LCM(87,99,522) = 4495986 / 783

LCM(87,99,522) = 5742


Lets's calculate GCF of 50,783,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5742/1

Therefore the LCM of Fractions 87/50,99/783,522/281 is 5742

Greatest Common Factor of 50,783,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,783,281 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 50,783,281 . The biggest common factor number is the GCF number.
So the greatest common factor 50,783,281 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 87/50, 99/783, 522/281

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 87/50, 99/783, 522/281?

Answer: LCM of Numerators as per given numbers 87/50, 99/783, 522/281 is

LCM of Numerators i.e. for 87,99,522 is 5742

GCF of denominators i.e. for 50,783,281 is 1.

Thus, LCM of Fractions is 5742.Finally, LCM of Fractions for 87/50, 99/783, 522/281 is 5742.