Least Common Multiple of 5333/44, 8666/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5333/44, 8666/627 quickly i.e. 46215778/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5333/44, 8666/627 is 46215778/11.

LCM(5333/44, 8666/627) = 46215778/11

LCM of 5333/44, 8666/627

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 5333/44,8666/627

Given numbers are 5333/44,8666/627

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 5333,8666

Least Common Multiple of Numerators i.e. LCM of 5333,8666 is 46215778.

GCF of Denominators means GCF of 44,627 as per the given fractions.

GCF of 44,627 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5333,8666

LCM of Fractions 5333/44,8666/627 is 46215778/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 46215778

Least Common Multiple of 5333,8666 with GCF Formula

Least Common Multiple of 5333,8666 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 5333,8666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5333,8666) = 1

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

GCF(5333,8666) x common factors =1 x 1 = 1

LCM(5333,8666) = ( 5333 × 8666 ) / 1

LCM(5333,8666) = 46215778 / 1

LCM(5333,8666) = 46215778


Lets's calculate GCF of 44,627

11 44, 627
4, 57

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46215778/11

Therefore the LCM of Fractions 5333/44,8666/627 is 46215778/11

Greatest Common Factor of 44,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,627 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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 44,627 . The biggest common factor number is the GCF number.
So the greatest common factor 44,627 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5333/44, 8666/627

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 5333/44, 8666/627?

Answer: LCM of Numerators as per given numbers 5333/44, 8666/627 is

LCM of Numerators i.e. for 5333,8666 is 46215778

GCF of denominators i.e. for 44,627 is 11.

Thus, LCM of Fractions is 46215778/11.Finally, LCM of Fractions for 5333/44, 8666/627 is 46215778/11.