Least Common Multiple of 66/467, 11/490, 339/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/467, 11/490, 339/738 quickly i.e. 7458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/467, 11/490, 339/738 is 7458.

LCM(66/467, 11/490, 339/738) = 7458

LCM of 66/467, 11/490, 339/738

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 66/467,11/490,339/738

Given numbers are 66/467,11/490,339/738

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 66,11,339

Least Common Multiple of Numerators i.e. LCM of 66,11,339 is 7458.

GCF of Denominators means GCF of 467,490,738 as per the given fractions.

GCF of 467,490,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,11,339

LCM of Fractions 66/467,11/490,339/738 is 7458

3 66, 11, 339
11 22, 11, 113
2, 1, 113

∴ So the LCM of the given numbers is 3 x 11 x 2 x 1 x 113 = 7458

Least Common Multiple of 66,11,339 with GCF Formula

Least Common Multiple of 66,11,339 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 66,11,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,11,339) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(66,11,339) x common factors =1 x 33 = 33

LCM(66,11,339) = ( 66 × 11 × 339 ) / 33

LCM(66,11,339) = 246114 / 33

LCM(66,11,339) = 7458


Lets's calculate GCF of 467,490,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7458/1

Therefore the LCM of Fractions 66/467,11/490,339/738 is 7458

Greatest Common Factor of 467,490,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,490,738 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 467,490,738 . The biggest common factor number is the GCF number.
So the greatest common factor 467,490,738 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 66/467, 11/490, 339/738

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 66/467, 11/490, 339/738?

Answer: LCM of Numerators as per given numbers 66/467, 11/490, 339/738 is

LCM of Numerators i.e. for 66,11,339 is 7458

GCF of denominators i.e. for 467,490,738 is 1.

Thus, LCM of Fractions is 7458.Finally, LCM of Fractions for 66/467, 11/490, 339/738 is 7458.