Least Common Multiple of 18/428, 99/395, 466/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/428, 99/395, 466/371 quickly i.e. 46134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/428, 99/395, 466/371 is 46134.

LCM(18/428, 99/395, 466/371) = 46134

LCM of 18/428, 99/395, 466/371

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 18/428,99/395,466/371

Given numbers are 18/428,99/395,466/371

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 18,99,466

Least Common Multiple of Numerators i.e. LCM of 18,99,466 is 46134.

GCF of Denominators means GCF of 428,395,371 as per the given fractions.

GCF of 428,395,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,99,466

LCM of Fractions 18/428,99/395,466/371 is 46134

2 18, 99, 466
3 9, 99, 233
3 3, 33, 233
1, 11, 233

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 11 x 233 = 46134

Least Common Multiple of 18,99,466 with GCF Formula

Least Common Multiple of 18,99,466 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 18,99,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,99,466) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,99,466) x common factors =1 x 18 = 18

LCM(18,99,466) = ( 18 × 99 × 466 ) / 18

LCM(18,99,466) = 830412 / 18

LCM(18,99,466) = 46134


Lets's calculate GCF of 428,395,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46134/1

Therefore the LCM of Fractions 18/428,99/395,466/371 is 46134

Greatest Common Factor of 428,395,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,395,371 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 428,395,371 . The biggest common factor number is the GCF number.
So the greatest common factor 428,395,371 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 18/428, 99/395, 466/371

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 18/428, 99/395, 466/371?

Answer: LCM of Numerators as per given numbers 18/428, 99/395, 466/371 is

LCM of Numerators i.e. for 18,99,466 is 46134

GCF of denominators i.e. for 428,395,371 is 1.

Thus, LCM of Fractions is 46134.Finally, LCM of Fractions for 18/428, 99/395, 466/371 is 46134.