Least Common Multiple of 65/23, 11/73, 39/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/23, 11/73, 39/803 quickly i.e. 2145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/23, 11/73, 39/803 is 2145.

LCM(65/23, 11/73, 39/803) = 2145

LCM of 65/23, 11/73, 39/803

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 65/23,11/73,39/803

Given numbers are 65/23,11/73,39/803

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 65,11,39

Least Common Multiple of Numerators i.e. LCM of 65,11,39 is 2145.

GCF of Denominators means GCF of 23,73,803 as per the given fractions.

GCF of 23,73,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,11,39

LCM of Fractions 65/23,11/73,39/803 is 2145

13 65, 11, 39
5, 11, 3

∴ So the LCM of the given numbers is 13 x 5 x 11 x 3 = 2145

Least Common Multiple of 65,11,39 with GCF Formula

Least Common Multiple of 65,11,39 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 65,11,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,11,39) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,11,39) x common factors =1 x 13 = 13

LCM(65,11,39) = ( 65 × 11 × 39 ) / 13

LCM(65,11,39) = 27885 / 13

LCM(65,11,39) = 2145


Lets's calculate GCF of 23,73,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145/1

Therefore the LCM of Fractions 65/23,11/73,39/803 is 2145

Greatest Common Factor of 23,73,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,73,803 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 23,73,803 . The biggest common factor number is the GCF number.
So the greatest common factor 23,73,803 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/23, 11/73, 39/803

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 65/23, 11/73, 39/803?

Answer: LCM of Numerators as per given numbers 65/23, 11/73, 39/803 is

LCM of Numerators i.e. for 65,11,39 is 2145

GCF of denominators i.e. for 23,73,803 is 1.

Thus, LCM of Fractions is 2145.Finally, LCM of Fractions for 65/23, 11/73, 39/803 is 2145.