Least Common Multiple of 17/84, 219/15, 417/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/84, 219/15, 417/441 quickly i.e. 172499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/84, 219/15, 417/441 is 172499.

LCM(17/84, 219/15, 417/441) = 172499

LCM of 17/84, 219/15, 417/441

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 17/84,219/15,417/441

Given numbers are 17/84,219/15,417/441

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 17,219,417

Least Common Multiple of Numerators i.e. LCM of 17,219,417 is 517497.

GCF of Denominators means GCF of 84,15,441 as per the given fractions.

GCF of 84,15,441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,219,417

LCM of Fractions 17/84,219/15,417/441 is 172499

3 17, 219, 417
17, 73, 139

∴ So the LCM of the given numbers is 3 x 17 x 73 x 139 = 517497

Least Common Multiple of 17,219,417 with GCF Formula

Least Common Multiple of 17,219,417 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 17,219,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,219,417) = 1

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

GCF(17,219,417) x common factors =1 x 3 = 3

LCM(17,219,417) = ( 17 × 219 × 417 ) / 3

LCM(17,219,417) = 1552491 / 3

LCM(17,219,417) = 517497


Lets's calculate GCF of 84,15,441

3 84, 15, 441
28, 5, 147

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517497/3

Therefore the LCM of Fractions 17/84,219/15,417/441 is 172499

Greatest Common Factor of 84,15,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,15,441 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 15

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

1,3,5,15

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 84,15,441 . The biggest common factor number is the GCF number.
So the greatest common factor 84,15,441 is 3.


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 17/84, 219/15, 417/441

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 17/84, 219/15, 417/441?

Answer: LCM of Numerators as per given numbers 17/84, 219/15, 417/441 is

LCM of Numerators i.e. for 17,219,417 is 517497

GCF of denominators i.e. for 84,15,441 is 3.

Thus, LCM of Fractions is 172499.Finally, LCM of Fractions for 17/84, 219/15, 417/441 is 172499.