Least Common Multiple of 48/32, 92/75, 46/48, 88/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/32, 92/75, 46/48, 88/230 quickly i.e. 12144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/32, 92/75, 46/48, 88/230 is 12144.

LCM(48/32, 92/75, 46/48, 88/230) = 12144

LCM of 48/32, 92/75, 46/48, 88/230

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 48/32,92/75,46/48,88/230

Given numbers are 48/32,92/75,46/48,88/230

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 48,92,46,88

Least Common Multiple of Numerators i.e. LCM of 48,92,46,88 is 12144.

GCF of Denominators means GCF of 32,75,48,230 as per the given fractions.

GCF of 32,75,48,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,92,46,88

LCM of Fractions 48/32,92/75,46/48,88/230 is 12144

2 48, 92, 46, 88
2 24, 46, 23, 44
2 12, 23, 23, 22
23 6, 23, 23, 11
6, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 6 x 1 x 1 x 11 = 12144

Least Common Multiple of 48,92,46,88 with GCF Formula

Least Common Multiple of 48,92,46,88 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 48,92,46,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,92,46,88) = 2

common factors(in case of two or more numbers have common factors) = 736

GCF(48,92,46,88) x common factors =2 x 736 = 1472

LCM(48,92,46,88) = ( 48 × 92 × 46 × 88 ) / 1472

LCM(48,92,46,88) = 17875968 / 1472

LCM(48,92,46,88) = 12144


Lets's calculate GCF of 32,75,48,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12144/1

Therefore the LCM of Fractions 48/32,92/75,46/48,88/230 is 12144

Greatest Common Factor of 32,75,48,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,75,48,230 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 230

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

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

Greatest Common Factor

We found the factors 32,75,48,230 . The biggest common factor number is the GCF number.
So the greatest common factor 32,75,48,230 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 48/32, 92/75, 46/48, 88/230

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 48/32, 92/75, 46/48, 88/230?

Answer: LCM of Numerators as per given numbers 48/32, 92/75, 46/48, 88/230 is

LCM of Numerators i.e. for 48,92,46,88 is 12144

GCF of denominators i.e. for 32,75,48,230 is 1.

Thus, LCM of Fractions is 12144.Finally, LCM of Fractions for 48/32, 92/75, 46/48, 88/230 is 12144.