Least Common Multiple of 96/75, 39/72, 898/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/75, 39/72, 898/867 quickly i.e. 186784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/75, 39/72, 898/867 is 186784.

LCM(96/75, 39/72, 898/867) = 186784

LCM of 96/75, 39/72, 898/867

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 96/75,39/72,898/867

Given numbers are 96/75,39/72,898/867

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 96,39,898

Least Common Multiple of Numerators i.e. LCM of 96,39,898 is 560352.

GCF of Denominators means GCF of 75,72,867 as per the given fractions.

GCF of 75,72,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,39,898

LCM of Fractions 96/75,39/72,898/867 is 186784

2 96, 39, 898
3 48, 39, 449
16, 13, 449

∴ So the LCM of the given numbers is 2 x 3 x 16 x 13 x 449 = 560352

Least Common Multiple of 96,39,898 with GCF Formula

Least Common Multiple of 96,39,898 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 96,39,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,39,898) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,39,898) x common factors =1 x 6 = 6

LCM(96,39,898) = ( 96 × 39 × 898 ) / 6

LCM(96,39,898) = 3362112 / 6

LCM(96,39,898) = 560352


Lets's calculate GCF of 75,72,867

3 75, 72, 867
25, 24, 289

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560352/3

Therefore the LCM of Fractions 96/75,39/72,898/867 is 186784

Greatest Common Factor of 75,72,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,72,867 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 75,72,867 . The biggest common factor number is the GCF number.
So the greatest common factor 75,72,867 is 3.


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 96/75, 39/72, 898/867

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 96/75, 39/72, 898/867?

Answer: LCM of Numerators as per given numbers 96/75, 39/72, 898/867 is

LCM of Numerators i.e. for 96,39,898 is 560352

GCF of denominators i.e. for 75,72,867 is 3.

Thus, LCM of Fractions is 186784.Finally, LCM of Fractions for 96/75, 39/72, 898/867 is 186784.