Least Common Multiple of 23/39, 41/32, 11/18, 53/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/39, 41/32, 11/18, 53/305 quickly i.e. 549769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/39, 41/32, 11/18, 53/305 is 549769.

LCM(23/39, 41/32, 11/18, 53/305) = 549769

LCM of 23/39, 41/32, 11/18, 53/305

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 23/39,41/32,11/18,53/305

Given numbers are 23/39,41/32,11/18,53/305

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 23,41,11,53

Least Common Multiple of Numerators i.e. LCM of 23,41,11,53 is 549769.

GCF of Denominators means GCF of 39,32,18,305 as per the given fractions.

GCF of 39,32,18,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,41,11,53

LCM of Fractions 23/39,41/32,11/18,53/305 is 549769

Given numbers has no common factors except 1. So, there LCM is their product i.e 549769

Least Common Multiple of 23,41,11,53 with GCF Formula

Least Common Multiple of 23,41,11,53 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 23,41,11,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,41,11,53) = 1

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

GCF(23,41,11,53) x common factors =1 x 1 = 1

LCM(23,41,11,53) = ( 23 × 41 × 11 × 53 ) / 1

LCM(23,41,11,53) = 549769 / 1

LCM(23,41,11,53) = 549769


Lets's calculate GCF of 39,32,18,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549769/1

Therefore the LCM of Fractions 23/39,41/32,11/18,53/305 is 549769

Greatest Common Factor of 39,32,18,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,32,18,305 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 39,32,18,305 . The biggest common factor number is the GCF number.
So the greatest common factor 39,32,18,305 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 23/39, 41/32, 11/18, 53/305

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 23/39, 41/32, 11/18, 53/305?

Answer: LCM of Numerators as per given numbers 23/39, 41/32, 11/18, 53/305 is

LCM of Numerators i.e. for 23,41,11,53 is 549769

GCF of denominators i.e. for 39,32,18,305 is 1.

Thus, LCM of Fractions is 549769.Finally, LCM of Fractions for 23/39, 41/32, 11/18, 53/305 is 549769.