Least Common Multiple of 306/466, 766/323, 390/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/466, 766/323, 390/721 quickly i.e. 7617870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/466, 766/323, 390/721 is 7617870.

LCM(306/466, 766/323, 390/721) = 7617870

LCM of 306/466, 766/323, 390/721

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 306/466,766/323,390/721

Given numbers are 306/466,766/323,390/721

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 306,766,390

Least Common Multiple of Numerators i.e. LCM of 306,766,390 is 7617870.

GCF of Denominators means GCF of 466,323,721 as per the given fractions.

GCF of 466,323,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,766,390

LCM of Fractions 306/466,766/323,390/721 is 7617870

2 306, 766, 390
3 153, 383, 195
51, 383, 65

∴ So the LCM of the given numbers is 2 x 3 x 51 x 383 x 65 = 7617870

Least Common Multiple of 306,766,390 with GCF Formula

Least Common Multiple of 306,766,390 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 306,766,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,766,390) = 2

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

GCF(306,766,390) x common factors =2 x 6 = 12

LCM(306,766,390) = ( 306 × 766 × 390 ) / 12

LCM(306,766,390) = 91414440 / 12

LCM(306,766,390) = 7617870


Lets's calculate GCF of 466,323,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7617870/1

Therefore the LCM of Fractions 306/466,766/323,390/721 is 7617870

Greatest Common Factor of 466,323,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,323,721 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 466,323,721 . The biggest common factor number is the GCF number.
So the greatest common factor 466,323,721 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 306/466, 766/323, 390/721

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 306/466, 766/323, 390/721?

Answer: LCM of Numerators as per given numbers 306/466, 766/323, 390/721 is

LCM of Numerators i.e. for 306,766,390 is 7617870

GCF of denominators i.e. for 466,323,721 is 1.

Thus, LCM of Fractions is 7617870.Finally, LCM of Fractions for 306/466, 766/323, 390/721 is 7617870.