Least Common Multiple of 102/96, 105/3273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/96, 105/3273 quickly i.e. 1190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/96, 105/3273 is 1190.

LCM(102/96, 105/3273) = 1190

LCM of 102/96, 105/3273

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 102/96,105/3273

Given numbers are 102/96,105/3273

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 102,105

Least Common Multiple of Numerators i.e. LCM of 102,105 is 3570.

GCF of Denominators means GCF of 96,3273 as per the given fractions.

GCF of 96,3273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,105

LCM of Fractions 102/96,105/3273 is 1190

3 102, 105
34, 35

∴ So the LCM of the given numbers is 3 x 34 x 35 = 3570

Least Common Multiple of 102,105 with GCF Formula

Least Common Multiple of 102,105 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 102,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,105) = 3

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

GCF(102,105) x common factors =3 x 1 = 3

LCM(102,105) = ( 102 × 105 ) / 3

LCM(102,105) = 10710 / 3

LCM(102,105) = 3570


Lets's calculate GCF of 96,3273

3 96, 3273
32, 1091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3570/3

Therefore the LCM of Fractions 102/96,105/3273 is 1190

Greatest Common Factor of 96,3273 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,3273 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 3273

List of positive integer factors of 3273 that divides 3273 without a remainder.

1,3,1091,3273

Greatest Common Factor

We found the factors 96,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3273 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 102/96, 105/3273

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 102/96, 105/3273?

Answer: LCM of Numerators as per given numbers 102/96, 105/3273 is

LCM of Numerators i.e. for 102,105 is 3570

GCF of denominators i.e. for 96,3273 is 3.

Thus, LCM of Fractions is 1190.Finally, LCM of Fractions for 102/96, 105/3273 is 1190.