Least Common Multiple of 20/99, 24/59, 96/17, 87/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/99, 24/59, 96/17, 87/530 quickly i.e. 13920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/99, 24/59, 96/17, 87/530 is 13920.

LCM(20/99, 24/59, 96/17, 87/530) = 13920

LCM of 20/99, 24/59, 96/17, 87/530

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 20/99,24/59,96/17,87/530

Given numbers are 20/99,24/59,96/17,87/530

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 20,24,96,87

Least Common Multiple of Numerators i.e. LCM of 20,24,96,87 is 13920.

GCF of Denominators means GCF of 99,59,17,530 as per the given fractions.

GCF of 99,59,17,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,24,96,87

LCM of Fractions 20/99,24/59,96/17,87/530 is 13920

2 20, 24, 96, 87
2 10, 12, 48, 87
2 5, 6, 24, 87
3 5, 3, 12, 87
5, 1, 4, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 4 x 29 = 13920

Least Common Multiple of 20,24,96,87 with GCF Formula

Least Common Multiple of 20,24,96,87 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 20,24,96,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,24,96,87) = 1

common factors(in case of two or more numbers have common factors) = 288

GCF(20,24,96,87) x common factors =1 x 288 = 288

LCM(20,24,96,87) = ( 20 × 24 × 96 × 87 ) / 288

LCM(20,24,96,87) = 4008960 / 288

LCM(20,24,96,87) = 13920


Lets's calculate GCF of 99,59,17,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13920/1

Therefore the LCM of Fractions 20/99,24/59,96/17,87/530 is 13920

Greatest Common Factor of 99,59,17,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,59,17,530 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 99,59,17,530 . The biggest common factor number is the GCF number.
So the greatest common factor 99,59,17,530 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 20/99, 24/59, 96/17, 87/530

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 20/99, 24/59, 96/17, 87/530?

Answer: LCM of Numerators as per given numbers 20/99, 24/59, 96/17, 87/530 is

LCM of Numerators i.e. for 20,24,96,87 is 13920

GCF of denominators i.e. for 99,59,17,530 is 1.

Thus, LCM of Fractions is 13920.Finally, LCM of Fractions for 20/99, 24/59, 96/17, 87/530 is 13920.