Least Common Multiple of 65/79, 159/57, 395/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/79, 159/57, 395/489 quickly i.e. 816465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/79, 159/57, 395/489 is 816465.

LCM(65/79, 159/57, 395/489) = 816465

LCM of 65/79, 159/57, 395/489

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 65/79,159/57,395/489

Given numbers are 65/79,159/57,395/489

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 65,159,395

Least Common Multiple of Numerators i.e. LCM of 65,159,395 is 816465.

GCF of Denominators means GCF of 79,57,489 as per the given fractions.

GCF of 79,57,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,159,395

LCM of Fractions 65/79,159/57,395/489 is 816465

5 65, 159, 395
13, 159, 79

∴ So the LCM of the given numbers is 5 x 13 x 159 x 79 = 816465

Least Common Multiple of 65,159,395 with GCF Formula

Least Common Multiple of 65,159,395 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 65,159,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,159,395) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,159,395) x common factors =1 x 5 = 5

LCM(65,159,395) = ( 65 × 159 × 395 ) / 5

LCM(65,159,395) = 4082325 / 5

LCM(65,159,395) = 816465


Lets's calculate GCF of 79,57,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 816465/1

Therefore the LCM of Fractions 65/79,159/57,395/489 is 816465

Greatest Common Factor of 79,57,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,57,489 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 79,57,489 . The biggest common factor number is the GCF number.
So the greatest common factor 79,57,489 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/79, 159/57, 395/489

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 65/79, 159/57, 395/489?

Answer: LCM of Numerators as per given numbers 65/79, 159/57, 395/489 is

LCM of Numerators i.e. for 65,159,395 is 816465

GCF of denominators i.e. for 79,57,489 is 1.

Thus, LCM of Fractions is 816465.Finally, LCM of Fractions for 65/79, 159/57, 395/489 is 816465.