Least Common Multiple of 12/764, 2259/7342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/764, 2259/7342 quickly i.e. 4518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/764, 2259/7342 is 4518.

LCM(12/764, 2259/7342) = 4518

LCM of 12/764, 2259/7342

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 12/764,2259/7342

Given numbers are 12/764,2259/7342

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 12,2259

Least Common Multiple of Numerators i.e. LCM of 12,2259 is 9036.

GCF of Denominators means GCF of 764,7342 as per the given fractions.

GCF of 764,7342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,2259

LCM of Fractions 12/764,2259/7342 is 4518

3 12, 2259
4, 753

∴ So the LCM of the given numbers is 3 x 4 x 753 = 9036

Least Common Multiple of 12,2259 with GCF Formula

Least Common Multiple of 12,2259 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 12,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2259) = 3

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

GCF(12,2259) x common factors =3 x 1 = 3

LCM(12,2259) = ( 12 × 2259 ) / 3

LCM(12,2259) = 27108 / 3

LCM(12,2259) = 9036


Lets's calculate GCF of 764,7342

2 764, 7342
382, 3671

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9036/2

Therefore the LCM of Fractions 12/764,2259/7342 is 4518

Greatest Common Factor of 764,7342 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,7342 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1,2,3671,7342

Greatest Common Factor

We found the factors 764,7342 . The biggest common factor number is the GCF number.
So the greatest common factor 764,7342 is 2.


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 12/764, 2259/7342

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 12/764, 2259/7342?

Answer: LCM of Numerators as per given numbers 12/764, 2259/7342 is

LCM of Numerators i.e. for 12,2259 is 9036

GCF of denominators i.e. for 764,7342 is 2.

Thus, LCM of Fractions is 4518.Finally, LCM of Fractions for 12/764, 2259/7342 is 4518.