Least Common Multiple of 9307/75, 4245/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9307/75, 4245/912 quickly i.e. 13169405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9307/75, 4245/912 is 13169405.

LCM(9307/75, 4245/912) = 13169405

LCM of 9307/75, 4245/912

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 9307/75,4245/912

Given numbers are 9307/75,4245/912

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 9307,4245

Least Common Multiple of Numerators i.e. LCM of 9307,4245 is 39508215.

GCF of Denominators means GCF of 75,912 as per the given fractions.

GCF of 75,912 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9307,4245

LCM of Fractions 9307/75,4245/912 is 13169405

Given numbers has no common factors except 1. So, there LCM is their product i.e 39508215

Least Common Multiple of 9307,4245 with GCF Formula

Least Common Multiple of 9307,4245 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 9307,4245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9307,4245) = 1

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

GCF(9307,4245) x common factors =1 x 1 = 1

LCM(9307,4245) = ( 9307 × 4245 ) / 1

LCM(9307,4245) = 39508215 / 1

LCM(9307,4245) = 39508215


Lets's calculate GCF of 75,912

3 75, 912
25, 304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39508215/3

Therefore the LCM of Fractions 9307/75,4245/912 is 13169405

Greatest Common Factor of 75,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,912 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 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 75,912 . The biggest common factor number is the GCF number.
So the greatest common factor 75,912 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 9307/75, 4245/912

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 9307/75, 4245/912?

Answer: LCM of Numerators as per given numbers 9307/75, 4245/912 is

LCM of Numerators i.e. for 9307,4245 is 39508215

GCF of denominators i.e. for 75,912 is 3.

Thus, LCM of Fractions is 13169405.Finally, LCM of Fractions for 9307/75, 4245/912 is 13169405.