Least Common Multiple of 674/75, 561/7326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/75, 561/7326 quickly i.e. 126038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/75, 561/7326 is 126038.

LCM(674/75, 561/7326) = 126038

LCM of 674/75, 561/7326

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 674/75,561/7326

Given numbers are 674/75,561/7326

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 674,561

Least Common Multiple of Numerators i.e. LCM of 674,561 is 378114.

GCF of Denominators means GCF of 75,7326 as per the given fractions.

GCF of 75,7326 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,561

LCM of Fractions 674/75,561/7326 is 126038

Given numbers has no common factors except 1. So, there LCM is their product i.e 378114

Least Common Multiple of 674,561 with GCF Formula

Least Common Multiple of 674,561 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 674,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,561) = 1

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

GCF(674,561) x common factors =1 x 1 = 1

LCM(674,561) = ( 674 × 561 ) / 1

LCM(674,561) = 378114 / 1

LCM(674,561) = 378114


Lets's calculate GCF of 75,7326

3 75, 7326
25, 2442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378114/3

Therefore the LCM of Fractions 674/75,561/7326 is 126038

Greatest Common Factor of 75,7326 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,7326 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 7326

List of positive integer factors of 7326 that divides 7326 without a remainder.

1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326

Greatest Common Factor

We found the factors 75,7326 . The biggest common factor number is the GCF number.
So the greatest common factor 75,7326 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 674/75, 561/7326

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 674/75, 561/7326?

Answer: LCM of Numerators as per given numbers 674/75, 561/7326 is

LCM of Numerators i.e. for 674,561 is 378114

GCF of denominators i.e. for 75,7326 is 3.

Thus, LCM of Fractions is 126038.Finally, LCM of Fractions for 674/75, 561/7326 is 126038.