Least Common Multiple of 96/559, 973/80, 500/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/559, 973/80, 500/189 quickly i.e. 11676000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/559, 973/80, 500/189 is 11676000.

LCM(96/559, 973/80, 500/189) = 11676000

LCM of 96/559, 973/80, 500/189

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 96/559,973/80,500/189

Given numbers are 96/559,973/80,500/189

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 96,973,500

Least Common Multiple of Numerators i.e. LCM of 96,973,500 is 11676000.

GCF of Denominators means GCF of 559,80,189 as per the given fractions.

GCF of 559,80,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,973,500

LCM of Fractions 96/559,973/80,500/189 is 11676000

2 96, 973, 500
2 48, 973, 250
24, 973, 125

∴ So the LCM of the given numbers is 2 x 2 x 24 x 973 x 125 = 11676000

Least Common Multiple of 96,973,500 with GCF Formula

Least Common Multiple of 96,973,500 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 96,973,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,973,500) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(96,973,500) x common factors =1 x 4 = 4

LCM(96,973,500) = ( 96 × 973 × 500 ) / 4

LCM(96,973,500) = 46704000 / 4

LCM(96,973,500) = 11676000


Lets's calculate GCF of 559,80,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11676000/1

Therefore the LCM of Fractions 96/559,973/80,500/189 is 11676000

Greatest Common Factor of 559,80,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,80,189 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 559,80,189 . The biggest common factor number is the GCF number.
So the greatest common factor 559,80,189 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 96/559, 973/80, 500/189

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 96/559, 973/80, 500/189?

Answer: LCM of Numerators as per given numbers 96/559, 973/80, 500/189 is

LCM of Numerators i.e. for 96,973,500 is 11676000

GCF of denominators i.e. for 559,80,189 is 1.

Thus, LCM of Fractions is 11676000.Finally, LCM of Fractions for 96/559, 973/80, 500/189 is 11676000.