Least Common Multiple of 65/612, 715/161, 391/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/612, 715/161, 391/594 quickly i.e. 279565 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/612, 715/161, 391/594 is 279565.

LCM(65/612, 715/161, 391/594) = 279565

LCM of 65/612, 715/161, 391/594

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 65/612,715/161,391/594

Given numbers are 65/612,715/161,391/594

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 65,715,391

Least Common Multiple of Numerators i.e. LCM of 65,715,391 is 279565.

GCF of Denominators means GCF of 612,161,594 as per the given fractions.

GCF of 612,161,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,715,391

LCM of Fractions 65/612,715/161,391/594 is 279565

5 65, 715, 391
13 13, 143, 391
1, 11, 391

∴ So the LCM of the given numbers is 5 x 13 x 1 x 11 x 391 = 279565

Least Common Multiple of 65,715,391 with GCF Formula

Least Common Multiple of 65,715,391 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 65,715,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,715,391) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,715,391) x common factors =1 x 65 = 65

LCM(65,715,391) = ( 65 × 715 × 391 ) / 65

LCM(65,715,391) = 18171725 / 65

LCM(65,715,391) = 279565


Lets's calculate GCF of 612,161,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279565/1

Therefore the LCM of Fractions 65/612,715/161,391/594 is 279565

Greatest Common Factor of 612,161,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,161,594 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 612,161,594 . The biggest common factor number is the GCF number.
So the greatest common factor 612,161,594 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 65/612, 715/161, 391/594

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 65/612, 715/161, 391/594?

Answer: LCM of Numerators as per given numbers 65/612, 715/161, 391/594 is

LCM of Numerators i.e. for 65,715,391 is 279565

GCF of denominators i.e. for 612,161,594 is 1.

Thus, LCM of Fractions is 279565.Finally, LCM of Fractions for 65/612, 715/161, 391/594 is 279565.