Least Common Multiple of 52/24, 69/81, 23/59, 42/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/24, 69/81, 23/59, 42/643 quickly i.e. 25116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/24, 69/81, 23/59, 42/643 is 25116.

LCM(52/24, 69/81, 23/59, 42/643) = 25116

LCM of 52/24, 69/81, 23/59, 42/643

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 52/24,69/81,23/59,42/643

Given numbers are 52/24,69/81,23/59,42/643

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 52,69,23,42

Least Common Multiple of Numerators i.e. LCM of 52,69,23,42 is 25116.

GCF of Denominators means GCF of 24,81,59,643 as per the given fractions.

GCF of 24,81,59,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,69,23,42

LCM of Fractions 52/24,69/81,23/59,42/643 is 25116

2 52, 69, 23, 42
3 26, 69, 23, 21
23 26, 23, 23, 7
26, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 26 x 1 x 1 x 7 = 25116

Least Common Multiple of 52,69,23,42 with GCF Formula

Least Common Multiple of 52,69,23,42 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 52,69,23,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,69,23,42) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(52,69,23,42) x common factors =1 x 138 = 138

LCM(52,69,23,42) = ( 52 × 69 × 23 × 42 ) / 138

LCM(52,69,23,42) = 3466008 / 138

LCM(52,69,23,42) = 25116


Lets's calculate GCF of 24,81,59,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25116/1

Therefore the LCM of Fractions 52/24,69/81,23/59,42/643 is 25116

Greatest Common Factor of 24,81,59,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,81,59,643 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 24,81,59,643 . The biggest common factor number is the GCF number.
So the greatest common factor 24,81,59,643 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 52/24, 69/81, 23/59, 42/643

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 52/24, 69/81, 23/59, 42/643?

Answer: LCM of Numerators as per given numbers 52/24, 69/81, 23/59, 42/643 is

LCM of Numerators i.e. for 52,69,23,42 is 25116

GCF of denominators i.e. for 24,81,59,643 is 1.

Thus, LCM of Fractions is 25116.Finally, LCM of Fractions for 52/24, 69/81, 23/59, 42/643 is 25116.