Least Common Multiple of 65/54, 301/93, 409/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/54, 301/93, 409/320 quickly i.e. 8002085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/54, 301/93, 409/320 is 8002085.

LCM(65/54, 301/93, 409/320) = 8002085

LCM of 65/54, 301/93, 409/320

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 65/54,301/93,409/320

Given numbers are 65/54,301/93,409/320

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 65,301,409

Least Common Multiple of Numerators i.e. LCM of 65,301,409 is 8002085.

GCF of Denominators means GCF of 54,93,320 as per the given fractions.

GCF of 54,93,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,301,409

LCM of Fractions 65/54,301/93,409/320 is 8002085

Given numbers has no common factors except 1. So, there LCM is their product i.e 8002085

Least Common Multiple of 65,301,409 with GCF Formula

Least Common Multiple of 65,301,409 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 65,301,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,301,409) = 1

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

GCF(65,301,409) x common factors =1 x 1 = 1

LCM(65,301,409) = ( 65 × 301 × 409 ) / 1

LCM(65,301,409) = 8002085 / 1

LCM(65,301,409) = 8002085


Lets's calculate GCF of 54,93,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8002085/1

Therefore the LCM of Fractions 65/54,301/93,409/320 is 8002085

Greatest Common Factor of 54,93,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,93,320 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 93

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

1,3,31,93

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 54,93,320 . The biggest common factor number is the GCF number.
So the greatest common factor 54,93,320 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 65/54, 301/93, 409/320

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 65/54, 301/93, 409/320?

Answer: LCM of Numerators as per given numbers 65/54, 301/93, 409/320 is

LCM of Numerators i.e. for 65,301,409 is 8002085

GCF of denominators i.e. for 54,93,320 is 1.

Thus, LCM of Fractions is 8002085.Finally, LCM of Fractions for 65/54, 301/93, 409/320 is 8002085.