Least Common Multiple of 3673/444, 8828/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3673/444, 8828/627 quickly i.e. 32425244/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3673/444, 8828/627 is 32425244/3.

LCM(3673/444, 8828/627) = 32425244/3

LCM of 3673/444, 8828/627

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 3673/444,8828/627

Given numbers are 3673/444,8828/627

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 3673,8828

Least Common Multiple of Numerators i.e. LCM of 3673,8828 is 32425244.

GCF of Denominators means GCF of 444,627 as per the given fractions.

GCF of 444,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3673,8828

LCM of Fractions 3673/444,8828/627 is 32425244/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 32425244

Least Common Multiple of 3673,8828 with GCF Formula

Least Common Multiple of 3673,8828 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 3673,8828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3673,8828) = 1

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

GCF(3673,8828) x common factors =1 x 1 = 1

LCM(3673,8828) = ( 3673 × 8828 ) / 1

LCM(3673,8828) = 32425244 / 1

LCM(3673,8828) = 32425244


Lets's calculate GCF of 444,627

3 444, 627
148, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32425244/3

Therefore the LCM of Fractions 3673/444,8828/627 is 32425244/3

Greatest Common Factor of 444,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,627 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 444,627 . The biggest common factor number is the GCF number.
So the greatest common factor 444,627 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3673/444, 8828/627

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 3673/444, 8828/627?

Answer: LCM of Numerators as per given numbers 3673/444, 8828/627 is

LCM of Numerators i.e. for 3673,8828 is 32425244

GCF of denominators i.e. for 444,627 is 3.

Thus, LCM of Fractions is 32425244/3.Finally, LCM of Fractions for 3673/444, 8828/627 is 32425244/3.