Least Common Multiple of 384/22, 419/46, 105/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/22, 419/46, 105/419 quickly i.e. 5631360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/22, 419/46, 105/419 is 5631360.

LCM(384/22, 419/46, 105/419) = 5631360

LCM of 384/22, 419/46, 105/419

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 384/22,419/46,105/419

Given numbers are 384/22,419/46,105/419

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 384,419,105

Least Common Multiple of Numerators i.e. LCM of 384,419,105 is 5631360.

GCF of Denominators means GCF of 22,46,419 as per the given fractions.

GCF of 22,46,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,419,105

LCM of Fractions 384/22,419/46,105/419 is 5631360

3 384, 419, 105
128, 419, 35

∴ So the LCM of the given numbers is 3 x 128 x 419 x 35 = 5631360

Least Common Multiple of 384,419,105 with GCF Formula

Least Common Multiple of 384,419,105 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 384,419,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,419,105) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(384,419,105) x common factors =1 x 3 = 3

LCM(384,419,105) = ( 384 × 419 × 105 ) / 3

LCM(384,419,105) = 16894080 / 3

LCM(384,419,105) = 5631360


Lets's calculate GCF of 22,46,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5631360/1

Therefore the LCM of Fractions 384/22,419/46,105/419 is 5631360

Greatest Common Factor of 22,46,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,46,419 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 22,46,419 . The biggest common factor number is the GCF number.
So the greatest common factor 22,46,419 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 384/22, 419/46, 105/419

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 384/22, 419/46, 105/419?

Answer: LCM of Numerators as per given numbers 384/22, 419/46, 105/419 is

LCM of Numerators i.e. for 384,419,105 is 5631360

GCF of denominators i.e. for 22,46,419 is 1.

Thus, LCM of Fractions is 5631360.Finally, LCM of Fractions for 384/22, 419/46, 105/419 is 5631360.