Least Common Multiple of 23/642, 1064/5295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/642, 1064/5295 quickly i.e. 24472/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/642, 1064/5295 is 24472/3.

LCM(23/642, 1064/5295) = 24472/3

LCM of 23/642, 1064/5295

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 23/642,1064/5295

Given numbers are 23/642,1064/5295

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 23,1064

Least Common Multiple of Numerators i.e. LCM of 23,1064 is 24472.

GCF of Denominators means GCF of 642,5295 as per the given fractions.

GCF of 642,5295 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,1064

LCM of Fractions 23/642,1064/5295 is 24472/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 24472

Least Common Multiple of 23,1064 with GCF Formula

Least Common Multiple of 23,1064 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 23,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,1064) = 1

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

GCF(23,1064) x common factors =1 x 1 = 1

LCM(23,1064) = ( 23 × 1064 ) / 1

LCM(23,1064) = 24472 / 1

LCM(23,1064) = 24472


Lets's calculate GCF of 642,5295

3 642, 5295
214, 1765

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24472/3

Therefore the LCM of Fractions 23/642,1064/5295 is 24472/3

Greatest Common Factor of 642,5295 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,5295 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Greatest Common Factor

We found the factors 642,5295 . The biggest common factor number is the GCF number.
So the greatest common factor 642,5295 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 23/642, 1064/5295

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 23/642, 1064/5295?

Answer: LCM of Numerators as per given numbers 23/642, 1064/5295 is

LCM of Numerators i.e. for 23,1064 is 24472

GCF of denominators i.e. for 642,5295 is 3.

Thus, LCM of Fractions is 24472/3.Finally, LCM of Fractions for 23/642, 1064/5295 is 24472/3.