Least Common Multiple of 195/96, 600/9063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/96, 600/9063 quickly i.e. 2600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/96, 600/9063 is 2600.

LCM(195/96, 600/9063) = 2600

LCM of 195/96, 600/9063

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 195/96,600/9063

Given numbers are 195/96,600/9063

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 195,600

Least Common Multiple of Numerators i.e. LCM of 195,600 is 7800.

GCF of Denominators means GCF of 96,9063 as per the given fractions.

GCF of 96,9063 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,600

LCM of Fractions 195/96,600/9063 is 2600

3 195, 600
5 65, 200
13, 40

∴ So the LCM of the given numbers is 3 x 5 x 13 x 40 = 7800

Least Common Multiple of 195,600 with GCF Formula

Least Common Multiple of 195,600 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 195,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,600) = 15

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

GCF(195,600) x common factors =15 x 1 = 15

LCM(195,600) = ( 195 × 600 ) / 15

LCM(195,600) = 117000 / 15

LCM(195,600) = 7800


Lets's calculate GCF of 96,9063

3 96, 9063
32, 3021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/3

Therefore the LCM of Fractions 195/96,600/9063 is 2600

Greatest Common Factor of 96,9063 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9063 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 9063

List of positive integer factors of 9063 that divides 9063 without a remainder.

1,3,9,19,53,57,159,171,477,1007,3021,9063

Greatest Common Factor

We found the factors 96,9063 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9063 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 195/96, 600/9063

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 195/96, 600/9063?

Answer: LCM of Numerators as per given numbers 195/96, 600/9063 is

LCM of Numerators i.e. for 195,600 is 7800

GCF of denominators i.e. for 96,9063 is 3.

Thus, LCM of Fractions is 2600.Finally, LCM of Fractions for 195/96, 600/9063 is 2600.