Least Common Multiple of 3312/326, 2766/7275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3312/326, 2766/7275 quickly i.e. 1526832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3312/326, 2766/7275 is 1526832.

LCM(3312/326, 2766/7275) = 1526832

LCM of 3312/326, 2766/7275

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 3312/326,2766/7275

Given numbers are 3312/326,2766/7275

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 3312,2766

Least Common Multiple of Numerators i.e. LCM of 3312,2766 is 1526832.

GCF of Denominators means GCF of 326,7275 as per the given fractions.

GCF of 326,7275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3312,2766

LCM of Fractions 3312/326,2766/7275 is 1526832

2 3312, 2766
3 1656, 1383
552, 461

∴ So the LCM of the given numbers is 2 x 3 x 552 x 461 = 1526832

Least Common Multiple of 3312,2766 with GCF Formula

Least Common Multiple of 3312,2766 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 3312,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3312,2766) = 6

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

GCF(3312,2766) x common factors =6 x 1 = 6

LCM(3312,2766) = ( 3312 × 2766 ) / 6

LCM(3312,2766) = 9160992 / 6

LCM(3312,2766) = 1526832


Lets's calculate GCF of 326,7275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1526832/1

Therefore the LCM of Fractions 3312/326,2766/7275 is 1526832

Greatest Common Factor of 326,7275 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,7275 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1,3,5,15,25,75,97,291,485,1455,2425,7275

Greatest Common Factor

We found the factors 326,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 326,7275 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 3312/326, 2766/7275

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 3312/326, 2766/7275?

Answer: LCM of Numerators as per given numbers 3312/326, 2766/7275 is

LCM of Numerators i.e. for 3312,2766 is 1526832

GCF of denominators i.e. for 326,7275 is 1.

Thus, LCM of Fractions is 1526832.Finally, LCM of Fractions for 3312/326, 2766/7275 is 1526832.