Least Common Multiple of 18/447, 57/346, 122/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/447, 57/346, 122/192 quickly i.e. 20862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/447, 57/346, 122/192 is 20862.

LCM(18/447, 57/346, 122/192) = 20862

LCM of 18/447, 57/346, 122/192

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 18/447,57/346,122/192

Given numbers are 18/447,57/346,122/192

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 18,57,122

Least Common Multiple of Numerators i.e. LCM of 18,57,122 is 20862.

GCF of Denominators means GCF of 447,346,192 as per the given fractions.

GCF of 447,346,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,57,122

LCM of Fractions 18/447,57/346,122/192 is 20862

2 18, 57, 122
3 9, 57, 61
3, 19, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 61 = 20862

Least Common Multiple of 18,57,122 with GCF Formula

Least Common Multiple of 18,57,122 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 18,57,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,57,122) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,57,122) x common factors =1 x 6 = 6

LCM(18,57,122) = ( 18 × 57 × 122 ) / 6

LCM(18,57,122) = 125172 / 6

LCM(18,57,122) = 20862


Lets's calculate GCF of 447,346,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20862/1

Therefore the LCM of Fractions 18/447,57/346,122/192 is 20862

Greatest Common Factor of 447,346,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,346,192 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

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

Greatest Common Factor

We found the factors 447,346,192 . The biggest common factor number is the GCF number.
So the greatest common factor 447,346,192 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 18/447, 57/346, 122/192

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 18/447, 57/346, 122/192?

Answer: LCM of Numerators as per given numbers 18/447, 57/346, 122/192 is

LCM of Numerators i.e. for 18,57,122 is 20862

GCF of denominators i.e. for 447,346,192 is 1.

Thus, LCM of Fractions is 20862.Finally, LCM of Fractions for 18/447, 57/346, 122/192 is 20862.