Least Common Multiple of 27/60, 647/18, 532/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/60, 647/18, 532/992 quickly i.e. 4646754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/60, 647/18, 532/992 is 4646754.

LCM(27/60, 647/18, 532/992) = 4646754

LCM of 27/60, 647/18, 532/992

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 27/60,647/18,532/992

Given numbers are 27/60,647/18,532/992

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 27,647,532

Least Common Multiple of Numerators i.e. LCM of 27,647,532 is 9293508.

GCF of Denominators means GCF of 60,18,992 as per the given fractions.

GCF of 60,18,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,647,532

LCM of Fractions 27/60,647/18,532/992 is 4646754

Given numbers has no common factors except 1. So, there LCM is their product i.e 9293508

Least Common Multiple of 27,647,532 with GCF Formula

Least Common Multiple of 27,647,532 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 27,647,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,647,532) = 1

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

GCF(27,647,532) x common factors =1 x 1 = 1

LCM(27,647,532) = ( 27 × 647 × 532 ) / 1

LCM(27,647,532) = 9293508 / 1

LCM(27,647,532) = 9293508


Lets's calculate GCF of 60,18,992

2 60, 18, 992
30, 9, 496

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9293508/2

Therefore the LCM of Fractions 27/60,647/18,532/992 is 4646754

Greatest Common Factor of 60,18,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,18,992 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 60,18,992 . The biggest common factor number is the GCF number.
So the greatest common factor 60,18,992 is 2.


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 27/60, 647/18, 532/992

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 27/60, 647/18, 532/992?

Answer: LCM of Numerators as per given numbers 27/60, 647/18, 532/992 is

LCM of Numerators i.e. for 27,647,532 is 9293508

GCF of denominators i.e. for 60,18,992 is 2.

Thus, LCM of Fractions is 4646754.Finally, LCM of Fractions for 27/60, 647/18, 532/992 is 4646754.