Least Common Multiple of 87/66, 47/72, 854/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/66, 47/72, 854/264 quickly i.e. 582001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/66, 47/72, 854/264 is 582001.

LCM(87/66, 47/72, 854/264) = 582001

LCM of 87/66, 47/72, 854/264

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 87/66,47/72,854/264

Given numbers are 87/66,47/72,854/264

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 87,47,854

Least Common Multiple of Numerators i.e. LCM of 87,47,854 is 3492006.

GCF of Denominators means GCF of 66,72,264 as per the given fractions.

GCF of 66,72,264 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,47,854

LCM of Fractions 87/66,47/72,854/264 is 582001

Given numbers has no common factors except 1. So, there LCM is their product i.e 3492006

Least Common Multiple of 87,47,854 with GCF Formula

Least Common Multiple of 87,47,854 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 87,47,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,47,854) = 1

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

GCF(87,47,854) x common factors =1 x 1 = 1

LCM(87,47,854) = ( 87 × 47 × 854 ) / 1

LCM(87,47,854) = 3492006 / 1

LCM(87,47,854) = 3492006


Lets's calculate GCF of 66,72,264

2 66, 72, 264
3 33, 36, 132
11, 12, 44

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3492006/6

Therefore the LCM of Fractions 87/66,47/72,854/264 is 582001

Greatest Common Factor of 66,72,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,72,264 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 66,72,264 . The biggest common factor number is the GCF number.
So the greatest common factor 66,72,264 is 6.


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 87/66, 47/72, 854/264

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 87/66, 47/72, 854/264?

Answer: LCM of Numerators as per given numbers 87/66, 47/72, 854/264 is

LCM of Numerators i.e. for 87,47,854 is 3492006

GCF of denominators i.e. for 66,72,264 is 6.

Thus, LCM of Fractions is 582001.Finally, LCM of Fractions for 87/66, 47/72, 854/264 is 582001.