Least Common Multiple of 445/88, 275/41, 481/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 445/88, 275/41, 481/15 quickly i.e. 11772475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 445/88, 275/41, 481/15 is 11772475.

LCM(445/88, 275/41, 481/15) = 11772475

LCM of 445/88, 275/41, 481/15

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 445/88,275/41,481/15

Given numbers are 445/88,275/41,481/15

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 445,275,481

Least Common Multiple of Numerators i.e. LCM of 445,275,481 is 11772475.

GCF of Denominators means GCF of 88,41,15 as per the given fractions.

GCF of 88,41,15 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 445,275,481

LCM of Fractions 445/88,275/41,481/15 is 11772475

5 445, 275, 481
89, 55, 481

∴ So the LCM of the given numbers is 5 x 89 x 55 x 481 = 11772475

Least Common Multiple of 445,275,481 with GCF Formula

Least Common Multiple of 445,275,481 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 445,275,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,275,481) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(445,275,481) x common factors =1 x 5 = 5

LCM(445,275,481) = ( 445 × 275 × 481 ) / 5

LCM(445,275,481) = 58862375 / 5

LCM(445,275,481) = 11772475


Lets's calculate GCF of 88,41,15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11772475/1

Therefore the LCM of Fractions 445/88,275/41,481/15 is 11772475

Greatest Common Factor of 88,41,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,41,15 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 88,41,15 . The biggest common factor number is the GCF number.
So the greatest common factor 88,41,15 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 445/88, 275/41, 481/15

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 445/88, 275/41, 481/15?

Answer: LCM of Numerators as per given numbers 445/88, 275/41, 481/15 is

LCM of Numerators i.e. for 445,275,481 is 11772475

GCF of denominators i.e. for 88,41,15 is 1.

Thus, LCM of Fractions is 11772475.Finally, LCM of Fractions for 445/88, 275/41, 481/15 is 11772475.