Least Common Multiple of 48/230, 576/223, 284/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/230, 576/223, 284/697 quickly i.e. 40896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/230, 576/223, 284/697 is 40896.

LCM(48/230, 576/223, 284/697) = 40896

LCM of 48/230, 576/223, 284/697

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 48/230,576/223,284/697

Given numbers are 48/230,576/223,284/697

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 48,576,284

Least Common Multiple of Numerators i.e. LCM of 48,576,284 is 40896.

GCF of Denominators means GCF of 230,223,697 as per the given fractions.

GCF of 230,223,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,576,284

LCM of Fractions 48/230,576/223,284/697 is 40896

2 48, 576, 284
2 24, 288, 142
2 12, 144, 71
2 6, 72, 71
3 3, 36, 71
1, 12, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 12 x 71 = 40896

Least Common Multiple of 48,576,284 with GCF Formula

Least Common Multiple of 48,576,284 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 48,576,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,576,284) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(48,576,284) x common factors =4 x 48 = 192

LCM(48,576,284) = ( 48 × 576 × 284 ) / 192

LCM(48,576,284) = 7852032 / 192

LCM(48,576,284) = 40896


Lets's calculate GCF of 230,223,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40896/1

Therefore the LCM of Fractions 48/230,576/223,284/697 is 40896

Greatest Common Factor of 230,223,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,223,697 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 230,223,697 . The biggest common factor number is the GCF number.
So the greatest common factor 230,223,697 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 48/230, 576/223, 284/697

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 48/230, 576/223, 284/697?

Answer: LCM of Numerators as per given numbers 48/230, 576/223, 284/697 is

LCM of Numerators i.e. for 48,576,284 is 40896

GCF of denominators i.e. for 230,223,697 is 1.

Thus, LCM of Fractions is 40896.Finally, LCM of Fractions for 48/230, 576/223, 284/697 is 40896.