Least Common Multiple of 247/36, 423/5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 247/36, 423/5385 quickly i.e. 34827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 247/36, 423/5385 is 34827.

LCM(247/36, 423/5385) = 34827

LCM of 247/36, 423/5385

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 247/36,423/5385

Given numbers are 247/36,423/5385

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 247,423

Least Common Multiple of Numerators i.e. LCM of 247,423 is 104481.

GCF of Denominators means GCF of 36,5385 as per the given fractions.

GCF of 36,5385 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 247,423

LCM of Fractions 247/36,423/5385 is 34827

Given numbers has no common factors except 1. So, there LCM is their product i.e 104481

Least Common Multiple of 247,423 with GCF Formula

Least Common Multiple of 247,423 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 247,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,423) = 1

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

GCF(247,423) x common factors =1 x 1 = 1

LCM(247,423) = ( 247 × 423 ) / 1

LCM(247,423) = 104481 / 1

LCM(247,423) = 104481


Lets's calculate GCF of 36,5385

3 36, 5385
12, 1795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104481/3

Therefore the LCM of Fractions 247/36,423/5385 is 34827

Greatest Common Factor of 36,5385 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,5385 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Greatest Common Factor

We found the factors 36,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5385 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 247/36, 423/5385

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 247/36, 423/5385?

Answer: LCM of Numerators as per given numbers 247/36, 423/5385 is

LCM of Numerators i.e. for 247,423 is 104481

GCF of denominators i.e. for 36,5385 is 3.

Thus, LCM of Fractions is 34827.Finally, LCM of Fractions for 247/36, 423/5385 is 34827.