Least Common Multiple of 744/34, 756/2326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/34, 756/2326 quickly i.e. 23436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/34, 756/2326 is 23436.

LCM(744/34, 756/2326) = 23436

LCM of 744/34, 756/2326

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 744/34,756/2326

Given numbers are 744/34,756/2326

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 744,756

Least Common Multiple of Numerators i.e. LCM of 744,756 is 46872.

GCF of Denominators means GCF of 34,2326 as per the given fractions.

GCF of 34,2326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,756

LCM of Fractions 744/34,756/2326 is 23436

2 744, 756
2 372, 378
3 186, 189
62, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 63 = 46872

Least Common Multiple of 744,756 with GCF Formula

Least Common Multiple of 744,756 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 744,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,756) = 12

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

GCF(744,756) x common factors =12 x 1 = 12

LCM(744,756) = ( 744 × 756 ) / 12

LCM(744,756) = 562464 / 12

LCM(744,756) = 46872


Lets's calculate GCF of 34,2326

2 34, 2326
17, 1163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46872/2

Therefore the LCM of Fractions 744/34,756/2326 is 23436

Greatest Common Factor of 34,2326 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,2326 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 2326

List of positive integer factors of 2326 that divides 2326 without a remainder.

1,2,1163,2326

Greatest Common Factor

We found the factors 34,2326 . The biggest common factor number is the GCF number.
So the greatest common factor 34,2326 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 744/34, 756/2326

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 744/34, 756/2326?

Answer: LCM of Numerators as per given numbers 744/34, 756/2326 is

LCM of Numerators i.e. for 744,756 is 46872

GCF of denominators i.e. for 34,2326 is 2.

Thus, LCM of Fractions is 23436.Finally, LCM of Fractions for 744/34, 756/2326 is 23436.