Least Common Multiple of 912/24, 389/7199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 912/24, 389/7199 quickly i.e. 354768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 912/24, 389/7199 is 354768.

LCM(912/24, 389/7199) = 354768

LCM of 912/24, 389/7199

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 912/24,389/7199

Given numbers are 912/24,389/7199

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 912,389

Least Common Multiple of Numerators i.e. LCM of 912,389 is 354768.

GCF of Denominators means GCF of 24,7199 as per the given fractions.

GCF of 24,7199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 912,389

LCM of Fractions 912/24,389/7199 is 354768

Given numbers has no common factors except 1. So, there LCM is their product i.e 354768

Least Common Multiple of 912,389 with GCF Formula

Least Common Multiple of 912,389 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 912,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,389) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(912,389) x common factors =1 x 1 = 1

LCM(912,389) = ( 912 × 389 ) / 1

LCM(912,389) = 354768 / 1

LCM(912,389) = 354768


Lets's calculate GCF of 24,7199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354768/1

Therefore the LCM of Fractions 912/24,389/7199 is 354768

Greatest Common Factor of 24,7199 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7199 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Greatest Common Factor

We found the factors 24,7199 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7199 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 912/24, 389/7199

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 912/24, 389/7199?

Answer: LCM of Numerators as per given numbers 912/24, 389/7199 is

LCM of Numerators i.e. for 912,389 is 354768

GCF of denominators i.e. for 24,7199 is 1.

Thus, LCM of Fractions is 354768.Finally, LCM of Fractions for 912/24, 389/7199 is 354768.