Least Common Multiple of 25/989, 12/111, 936/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/989, 12/111, 936/165 quickly i.e. 23400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/989, 12/111, 936/165 is 23400.

LCM(25/989, 12/111, 936/165) = 23400

LCM of 25/989, 12/111, 936/165

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 25/989,12/111,936/165

Given numbers are 25/989,12/111,936/165

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 25,12,936

Least Common Multiple of Numerators i.e. LCM of 25,12,936 is 23400.

GCF of Denominators means GCF of 989,111,165 as per the given fractions.

GCF of 989,111,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,12,936

LCM of Fractions 25/989,12/111,936/165 is 23400

2 25, 12, 936
2 25, 6, 468
3 25, 3, 234
25, 1, 78

∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 1 x 78 = 23400

Least Common Multiple of 25,12,936 with GCF Formula

Least Common Multiple of 25,12,936 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 25,12,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,12,936) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(25,12,936) x common factors =1 x 12 = 12

LCM(25,12,936) = ( 25 × 12 × 936 ) / 12

LCM(25,12,936) = 280800 / 12

LCM(25,12,936) = 23400


Lets's calculate GCF of 989,111,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23400/1

Therefore the LCM of Fractions 25/989,12/111,936/165 is 23400

Greatest Common Factor of 989,111,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,111,165 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 989,111,165 . The biggest common factor number is the GCF number.
So the greatest common factor 989,111,165 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 25/989, 12/111, 936/165

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 25/989, 12/111, 936/165?

Answer: LCM of Numerators as per given numbers 25/989, 12/111, 936/165 is

LCM of Numerators i.e. for 25,12,936 is 23400

GCF of denominators i.e. for 989,111,165 is 1.

Thus, LCM of Fractions is 23400.Finally, LCM of Fractions for 25/989, 12/111, 936/165 is 23400.