Least Common Multiple of 489/91, 617/65, 216/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/91, 617/65, 216/395 quickly i.e. 21723336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/91, 617/65, 216/395 is 21723336.

LCM(489/91, 617/65, 216/395) = 21723336

LCM of 489/91, 617/65, 216/395

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 489/91,617/65,216/395

Given numbers are 489/91,617/65,216/395

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 489,617,216

Least Common Multiple of Numerators i.e. LCM of 489,617,216 is 21723336.

GCF of Denominators means GCF of 91,65,395 as per the given fractions.

GCF of 91,65,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,617,216

LCM of Fractions 489/91,617/65,216/395 is 21723336

3 489, 617, 216
163, 617, 72

∴ So the LCM of the given numbers is 3 x 163 x 617 x 72 = 21723336

Least Common Multiple of 489,617,216 with GCF Formula

Least Common Multiple of 489,617,216 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 489,617,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,617,216) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(489,617,216) x common factors =1 x 3 = 3

LCM(489,617,216) = ( 489 × 617 × 216 ) / 3

LCM(489,617,216) = 65170008 / 3

LCM(489,617,216) = 21723336


Lets's calculate GCF of 91,65,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21723336/1

Therefore the LCM of Fractions 489/91,617/65,216/395 is 21723336

Greatest Common Factor of 91,65,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,65,395 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 91,65,395 . The biggest common factor number is the GCF number.
So the greatest common factor 91,65,395 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 489/91, 617/65, 216/395

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 489/91, 617/65, 216/395?

Answer: LCM of Numerators as per given numbers 489/91, 617/65, 216/395 is

LCM of Numerators i.e. for 489,617,216 is 21723336

GCF of denominators i.e. for 91,65,395 is 1.

Thus, LCM of Fractions is 21723336.Finally, LCM of Fractions for 489/91, 617/65, 216/395 is 21723336.