Least Common Multiple of 8/729, 87/549, 66/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/729, 87/549, 66/762 quickly i.e. 2552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/729, 87/549, 66/762 is 2552.

LCM(8/729, 87/549, 66/762) = 2552

LCM of 8/729, 87/549, 66/762

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 8/729,87/549,66/762

Given numbers are 8/729,87/549,66/762

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 8,87,66

Least Common Multiple of Numerators i.e. LCM of 8,87,66 is 7656.

GCF of Denominators means GCF of 729,549,762 as per the given fractions.

GCF of 729,549,762 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,87,66

LCM of Fractions 8/729,87/549,66/762 is 2552

2 8, 87, 66
3 4, 87, 33
4, 29, 11

∴ So the LCM of the given numbers is 2 x 3 x 4 x 29 x 11 = 7656

Least Common Multiple of 8,87,66 with GCF Formula

Least Common Multiple of 8,87,66 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 8,87,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,87,66) = 1

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

GCF(8,87,66) x common factors =1 x 6 = 6

LCM(8,87,66) = ( 8 × 87 × 66 ) / 6

LCM(8,87,66) = 45936 / 6

LCM(8,87,66) = 7656


Lets's calculate GCF of 729,549,762

3 729, 549, 762
243, 183, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7656/3

Therefore the LCM of Fractions 8/729,87/549,66/762 is 2552

Greatest Common Factor of 729,549,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,549,762 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 729,549,762 . The biggest common factor number is the GCF number.
So the greatest common factor 729,549,762 is 3.


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 8/729, 87/549, 66/762

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 8/729, 87/549, 66/762?

Answer: LCM of Numerators as per given numbers 8/729, 87/549, 66/762 is

LCM of Numerators i.e. for 8,87,66 is 7656

GCF of denominators i.e. for 729,549,762 is 3.

Thus, LCM of Fractions is 2552.Finally, LCM of Fractions for 8/729, 87/549, 66/762 is 2552.