Least Common Multiple of 65/221, 93/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/221, 93/578 quickly i.e. 6045/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/221, 93/578 is 6045/17.

LCM(65/221, 93/578) = 6045/17

LCM of 65/221, 93/578

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 65/221,93/578

Given numbers are 65/221,93/578

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 65,93

Least Common Multiple of Numerators i.e. LCM of 65,93 is 6045.

GCF of Denominators means GCF of 221,578 as per the given fractions.

GCF of 221,578 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,93

LCM of Fractions 65/221,93/578 is 6045/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 6045

Least Common Multiple of 65,93 with GCF Formula

Least Common Multiple of 65,93 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 65,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,93) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,93) x common factors =1 x 1 = 1

LCM(65,93) = ( 65 × 93 ) / 1

LCM(65,93) = 6045 / 1

LCM(65,93) = 6045


Lets's calculate GCF of 221,578

17 221, 578
13, 34

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6045/17

Therefore the LCM of Fractions 65/221,93/578 is 6045/17

Greatest Common Factor of 221,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,578 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 221,578 . The biggest common factor number is the GCF number.
So the greatest common factor 221,578 is 17.


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 65/221, 93/578

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 65/221, 93/578?

Answer: LCM of Numerators as per given numbers 65/221, 93/578 is

LCM of Numerators i.e. for 65,93 is 6045

GCF of denominators i.e. for 221,578 is 17.

Thus, LCM of Fractions is 6045/17.Finally, LCM of Fractions for 65/221, 93/578 is 6045/17.