Least Common Multiple of 46/50, 89/68, 238/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/50, 89/68, 238/128 quickly i.e. 243593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/50, 89/68, 238/128 is 243593.

LCM(46/50, 89/68, 238/128) = 243593

LCM of 46/50, 89/68, 238/128

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 46/50,89/68,238/128

Given numbers are 46/50,89/68,238/128

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 46,89,238

Least Common Multiple of Numerators i.e. LCM of 46,89,238 is 487186.

GCF of Denominators means GCF of 50,68,128 as per the given fractions.

GCF of 50,68,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,89,238

LCM of Fractions 46/50,89/68,238/128 is 243593

2 46, 89, 238
23, 89, 119

∴ So the LCM of the given numbers is 2 x 23 x 89 x 119 = 487186

Least Common Multiple of 46,89,238 with GCF Formula

Least Common Multiple of 46,89,238 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 46,89,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,89,238) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,89,238) x common factors =1 x 2 = 2

LCM(46,89,238) = ( 46 × 89 × 238 ) / 2

LCM(46,89,238) = 974372 / 2

LCM(46,89,238) = 487186


Lets's calculate GCF of 50,68,128

2 50, 68, 128
25, 34, 64

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487186/2

Therefore the LCM of Fractions 46/50,89/68,238/128 is 243593

Greatest Common Factor of 50,68,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,68,128 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 50,68,128 . The biggest common factor number is the GCF number.
So the greatest common factor 50,68,128 is 2.


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 46/50, 89/68, 238/128

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 46/50, 89/68, 238/128?

Answer: LCM of Numerators as per given numbers 46/50, 89/68, 238/128 is

LCM of Numerators i.e. for 46,89,238 is 487186

GCF of denominators i.e. for 50,68,128 is 2.

Thus, LCM of Fractions is 243593.Finally, LCM of Fractions for 46/50, 89/68, 238/128 is 243593.