Least Common Multiple of 74/75, 33/561, 936/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/75, 33/561, 936/679 quickly i.e. 380952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/75, 33/561, 936/679 is 380952.

LCM(74/75, 33/561, 936/679) = 380952

LCM of 74/75, 33/561, 936/679

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 74/75,33/561,936/679

Given numbers are 74/75,33/561,936/679

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 74,33,936

Least Common Multiple of Numerators i.e. LCM of 74,33,936 is 380952.

GCF of Denominators means GCF of 75,561,679 as per the given fractions.

GCF of 75,561,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,33,936

LCM of Fractions 74/75,33/561,936/679 is 380952

2 74, 33, 936
3 37, 33, 468
37, 11, 156

∴ So the LCM of the given numbers is 2 x 3 x 37 x 11 x 156 = 380952

Least Common Multiple of 74,33,936 with GCF Formula

Least Common Multiple of 74,33,936 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 74,33,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,33,936) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,33,936) x common factors =1 x 6 = 6

LCM(74,33,936) = ( 74 × 33 × 936 ) / 6

LCM(74,33,936) = 2285712 / 6

LCM(74,33,936) = 380952


Lets's calculate GCF of 75,561,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380952/1

Therefore the LCM of Fractions 74/75,33/561,936/679 is 380952

Greatest Common Factor of 75,561,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,561,679 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 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 75,561,679 . The biggest common factor number is the GCF number.
So the greatest common factor 75,561,679 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 74/75, 33/561, 936/679

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 74/75, 33/561, 936/679?

Answer: LCM of Numerators as per given numbers 74/75, 33/561, 936/679 is

LCM of Numerators i.e. for 74,33,936 is 380952

GCF of denominators i.e. for 75,561,679 is 1.

Thus, LCM of Fractions is 380952.Finally, LCM of Fractions for 74/75, 33/561, 936/679 is 380952.