Least Common Multiple of 23/87, 48/47, 299/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/87, 48/47, 299/321 quickly i.e. 14352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/87, 48/47, 299/321 is 14352.

LCM(23/87, 48/47, 299/321) = 14352

LCM of 23/87, 48/47, 299/321

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 23/87,48/47,299/321

Given numbers are 23/87,48/47,299/321

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 23,48,299

Least Common Multiple of Numerators i.e. LCM of 23,48,299 is 14352.

GCF of Denominators means GCF of 87,47,321 as per the given fractions.

GCF of 87,47,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,48,299

LCM of Fractions 23/87,48/47,299/321 is 14352

23 23, 48, 299
1, 48, 13

∴ So the LCM of the given numbers is 23 x 1 x 48 x 13 = 14352

Least Common Multiple of 23,48,299 with GCF Formula

Least Common Multiple of 23,48,299 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 23,48,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,48,299) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,48,299) x common factors =1 x 23 = 23

LCM(23,48,299) = ( 23 × 48 × 299 ) / 23

LCM(23,48,299) = 330096 / 23

LCM(23,48,299) = 14352


Lets's calculate GCF of 87,47,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14352/1

Therefore the LCM of Fractions 23/87,48/47,299/321 is 14352

Greatest Common Factor of 87,47,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,47,321 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 87,47,321 . The biggest common factor number is the GCF number.
So the greatest common factor 87,47,321 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 23/87, 48/47, 299/321

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 23/87, 48/47, 299/321?

Answer: LCM of Numerators as per given numbers 23/87, 48/47, 299/321 is

LCM of Numerators i.e. for 23,48,299 is 14352

GCF of denominators i.e. for 87,47,321 is 1.

Thus, LCM of Fractions is 14352.Finally, LCM of Fractions for 23/87, 48/47, 299/321 is 14352.