Least Common Multiple of 9404/965, 9645/5750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9404/965, 9645/5750 quickly i.e. 18140316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9404/965, 9645/5750 is 18140316.

LCM(9404/965, 9645/5750) = 18140316

LCM of 9404/965, 9645/5750

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 9404/965,9645/5750

Given numbers are 9404/965,9645/5750

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 9404,9645

Least Common Multiple of Numerators i.e. LCM of 9404,9645 is 90701580.

GCF of Denominators means GCF of 965,5750 as per the given fractions.

GCF of 965,5750 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9404,9645

LCM of Fractions 9404/965,9645/5750 is 18140316

Given numbers has no common factors except 1. So, there LCM is their product i.e 90701580

Least Common Multiple of 9404,9645 with GCF Formula

Least Common Multiple of 9404,9645 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 9404,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9404,9645) = 1

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

GCF(9404,9645) x common factors =1 x 1 = 1

LCM(9404,9645) = ( 9404 × 9645 ) / 1

LCM(9404,9645) = 90701580 / 1

LCM(9404,9645) = 90701580


Lets's calculate GCF of 965,5750

5 965, 5750
193, 1150

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90701580/5

Therefore the LCM of Fractions 9404/965,9645/5750 is 18140316

Greatest Common Factor of 965,5750 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,5750 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Greatest Common Factor

We found the factors 965,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 965,5750 is 5.


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 9404/965, 9645/5750

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 9404/965, 9645/5750?

Answer: LCM of Numerators as per given numbers 9404/965, 9645/5750 is

LCM of Numerators i.e. for 9404,9645 is 90701580

GCF of denominators i.e. for 965,5750 is 5.

Thus, LCM of Fractions is 18140316.Finally, LCM of Fractions for 9404/965, 9645/5750 is 18140316.