Least Common Multiple of 65/93, 21/372, 819/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/93, 21/372, 819/483 quickly i.e. 1365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/93, 21/372, 819/483 is 1365.

LCM(65/93, 21/372, 819/483) = 1365

LCM of 65/93, 21/372, 819/483

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 65/93,21/372,819/483

Given numbers are 65/93,21/372,819/483

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 65,21,819

Least Common Multiple of Numerators i.e. LCM of 65,21,819 is 4095.

GCF of Denominators means GCF of 93,372,483 as per the given fractions.

GCF of 93,372,483 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,21,819

LCM of Fractions 65/93,21/372,819/483 is 1365

3 65, 21, 819
7 65, 7, 273
13 65, 1, 39
5, 1, 3

∴ So the LCM of the given numbers is 3 x 7 x 13 x 5 x 1 x 3 = 4095

Least Common Multiple of 65,21,819 with GCF Formula

Least Common Multiple of 65,21,819 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 65,21,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,21,819) = 1

common factors(in case of two or more numbers have common factors) = 273

GCF(65,21,819) x common factors =1 x 273 = 273

LCM(65,21,819) = ( 65 × 21 × 819 ) / 273

LCM(65,21,819) = 1117935 / 273

LCM(65,21,819) = 4095


Lets's calculate GCF of 93,372,483

3 93, 372, 483
31, 124, 161

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4095/3

Therefore the LCM of Fractions 65/93,21/372,819/483 is 1365

Greatest Common Factor of 93,372,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,372,483 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 93,372,483 . The biggest common factor number is the GCF number.
So the greatest common factor 93,372,483 is 3.


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 65/93, 21/372, 819/483

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 65/93, 21/372, 819/483?

Answer: LCM of Numerators as per given numbers 65/93, 21/372, 819/483 is

LCM of Numerators i.e. for 65,21,819 is 4095

GCF of denominators i.e. for 93,372,483 is 3.

Thus, LCM of Fractions is 1365.Finally, LCM of Fractions for 65/93, 21/372, 819/483 is 1365.