Least Common Multiple of 389/96, 960/7243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/96, 960/7243 quickly i.e. 373440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/96, 960/7243 is 373440.

LCM(389/96, 960/7243) = 373440

LCM of 389/96, 960/7243

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 389/96,960/7243

Given numbers are 389/96,960/7243

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 389,960

Least Common Multiple of Numerators i.e. LCM of 389,960 is 373440.

GCF of Denominators means GCF of 96,7243 as per the given fractions.

GCF of 96,7243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,960

LCM of Fractions 389/96,960/7243 is 373440

Given numbers has no common factors except 1. So, there LCM is their product i.e 373440

Least Common Multiple of 389,960 with GCF Formula

Least Common Multiple of 389,960 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 389,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,960) = 1

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

GCF(389,960) x common factors =1 x 1 = 1

LCM(389,960) = ( 389 × 960 ) / 1

LCM(389,960) = 373440 / 1

LCM(389,960) = 373440


Lets's calculate GCF of 96,7243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373440/1

Therefore the LCM of Fractions 389/96,960/7243 is 373440

Greatest Common Factor of 96,7243 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7243 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7243

List of positive integer factors of 7243 that divides 7243 without a remainder.

1,7243

Greatest Common Factor

We found the factors 96,7243 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7243 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 389/96, 960/7243

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 389/96, 960/7243?

Answer: LCM of Numerators as per given numbers 389/96, 960/7243 is

LCM of Numerators i.e. for 389,960 is 373440

GCF of denominators i.e. for 96,7243 is 1.

Thus, LCM of Fractions is 373440.Finally, LCM of Fractions for 389/96, 960/7243 is 373440.