Least Common Multiple of 66/528, 118/590, 394/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/528, 118/590, 394/729 quickly i.e. 767118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/528, 118/590, 394/729 is 767118.

LCM(66/528, 118/590, 394/729) = 767118

LCM of 66/528, 118/590, 394/729

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 66/528,118/590,394/729

Given numbers are 66/528,118/590,394/729

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 66,118,394

Least Common Multiple of Numerators i.e. LCM of 66,118,394 is 767118.

GCF of Denominators means GCF of 528,590,729 as per the given fractions.

GCF of 528,590,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,118,394

LCM of Fractions 66/528,118/590,394/729 is 767118

2 66, 118, 394
33, 59, 197

∴ So the LCM of the given numbers is 2 x 33 x 59 x 197 = 767118

Least Common Multiple of 66,118,394 with GCF Formula

Least Common Multiple of 66,118,394 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 66,118,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,118,394) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(66,118,394) x common factors =2 x 2 = 4

LCM(66,118,394) = ( 66 × 118 × 394 ) / 4

LCM(66,118,394) = 3068472 / 4

LCM(66,118,394) = 767118


Lets's calculate GCF of 528,590,729

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767118/1

Therefore the LCM of Fractions 66/528,118/590,394/729 is 767118

Greatest Common Factor of 528,590,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,590,729 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 729

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

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

Greatest Common Factor

We found the factors 528,590,729 . The biggest common factor number is the GCF number.
So the greatest common factor 528,590,729 is 1.


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 66/528, 118/590, 394/729

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 66/528, 118/590, 394/729?

Answer: LCM of Numerators as per given numbers 66/528, 118/590, 394/729 is

LCM of Numerators i.e. for 66,118,394 is 767118

GCF of denominators i.e. for 528,590,729 is 1.

Thus, LCM of Fractions is 767118.Finally, LCM of Fractions for 66/528, 118/590, 394/729 is 767118.