Least Common Multiple of 10/481, 21/411, 184/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/481, 21/411, 184/445 quickly i.e. 19320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/481, 21/411, 184/445 is 19320.

LCM(10/481, 21/411, 184/445) = 19320

LCM of 10/481, 21/411, 184/445

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 10/481,21/411,184/445

Given numbers are 10/481,21/411,184/445

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 10,21,184

Least Common Multiple of Numerators i.e. LCM of 10,21,184 is 19320.

GCF of Denominators means GCF of 481,411,445 as per the given fractions.

GCF of 481,411,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,21,184

LCM of Fractions 10/481,21/411,184/445 is 19320

2 10, 21, 184
5, 21, 92

∴ So the LCM of the given numbers is 2 x 5 x 21 x 92 = 19320

Least Common Multiple of 10,21,184 with GCF Formula

Least Common Multiple of 10,21,184 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 10,21,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,21,184) = 1

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

GCF(10,21,184) x common factors =1 x 2 = 2

LCM(10,21,184) = ( 10 × 21 × 184 ) / 2

LCM(10,21,184) = 38640 / 2

LCM(10,21,184) = 19320


Lets's calculate GCF of 481,411,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/1

Therefore the LCM of Fractions 10/481,21/411,184/445 is 19320

Greatest Common Factor of 481,411,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,411,445 By Matching Biggest Common Factor Method

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 481,411,445 . The biggest common factor number is the GCF number.
So the greatest common factor 481,411,445 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/481, 21/411, 184/445

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 10/481, 21/411, 184/445?

Answer: LCM of Numerators as per given numbers 10/481, 21/411, 184/445 is

LCM of Numerators i.e. for 10,21,184 is 19320

GCF of denominators i.e. for 481,411,445 is 1.

Thus, LCM of Fractions is 19320.Finally, LCM of Fractions for 10/481, 21/411, 184/445 is 19320.