Least Common Multiple of 7448/749, 5394/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7448/749, 5394/328 quickly i.e. 20087256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7448/749, 5394/328 is 20087256.

LCM(7448/749, 5394/328) = 20087256

LCM of 7448/749, 5394/328

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 7448/749,5394/328

Given numbers are 7448/749,5394/328

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 7448,5394

Least Common Multiple of Numerators i.e. LCM of 7448,5394 is 20087256.

GCF of Denominators means GCF of 749,328 as per the given fractions.

GCF of 749,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7448,5394

LCM of Fractions 7448/749,5394/328 is 20087256

2 7448, 5394
3724, 2697

∴ So the LCM of the given numbers is 2 x 3724 x 2697 = 20087256

Least Common Multiple of 7448,5394 with GCF Formula

Least Common Multiple of 7448,5394 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 7448,5394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7448,5394) = 2

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

GCF(7448,5394) x common factors =2 x 1 = 2

LCM(7448,5394) = ( 7448 × 5394 ) / 2

LCM(7448,5394) = 40174512 / 2

LCM(7448,5394) = 20087256


Lets's calculate GCF of 749,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20087256/1

Therefore the LCM of Fractions 7448/749,5394/328 is 20087256

Greatest Common Factor of 749,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,328 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 749,328 . The biggest common factor number is the GCF number.
So the greatest common factor 749,328 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 7448/749, 5394/328

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 7448/749, 5394/328?

Answer: LCM of Numerators as per given numbers 7448/749, 5394/328 is

LCM of Numerators i.e. for 7448,5394 is 20087256

GCF of denominators i.e. for 749,328 is 1.

Thus, LCM of Fractions is 20087256.Finally, LCM of Fractions for 7448/749, 5394/328 is 20087256.