Least Common Multiple of 46/192, 13/432, 645/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/192, 13/432, 645/900 quickly i.e. 385710/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/192, 13/432, 645/900 is 385710/12.

LCM(46/192, 13/432, 645/900) = 385710/12

LCM of 46/192, 13/432, 645/900

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 46/192,13/432,645/900

Given numbers are 46/192,13/432,645/900

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 46,13,645

Least Common Multiple of Numerators i.e. LCM of 46,13,645 is 385710.

GCF of Denominators means GCF of 192,432,900 as per the given fractions.

GCF of 192,432,900 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,13,645

LCM of Fractions 46/192,13/432,645/900 is 385710/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 385710

Least Common Multiple of 46,13,645 with GCF Formula

Least Common Multiple of 46,13,645 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 46,13,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,13,645) = 1

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

GCF(46,13,645) x common factors =1 x 1 = 1

LCM(46,13,645) = ( 46 × 13 × 645 ) / 1

LCM(46,13,645) = 385710 / 1

LCM(46,13,645) = 385710


Lets's calculate GCF of 192,432,900

2 192, 432, 900
2 96, 216, 450
3 48, 108, 225
16, 36, 75

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385710/12

Therefore the LCM of Fractions 46/192,13/432,645/900 is 385710/12

Greatest Common Factor of 192,432,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,432,900 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 192,432,900 . The biggest common factor number is the GCF number.
So the greatest common factor 192,432,900 is 12.


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 46/192, 13/432, 645/900

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 46/192, 13/432, 645/900?

Answer: LCM of Numerators as per given numbers 46/192, 13/432, 645/900 is

LCM of Numerators i.e. for 46,13,645 is 385710

GCF of denominators i.e. for 192,432,900 is 12.

Thus, LCM of Fractions is 385710/12.Finally, LCM of Fractions for 46/192, 13/432, 645/900 is 385710/12.