Least Common Multiple of 17/660, 306/162, 303/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/660, 306/162, 303/448 quickly i.e. 15453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/660, 306/162, 303/448 is 15453.

LCM(17/660, 306/162, 303/448) = 15453

LCM of 17/660, 306/162, 303/448

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 17/660,306/162,303/448

Given numbers are 17/660,306/162,303/448

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 17,306,303

Least Common Multiple of Numerators i.e. LCM of 17,306,303 is 30906.

GCF of Denominators means GCF of 660,162,448 as per the given fractions.

GCF of 660,162,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,306,303

LCM of Fractions 17/660,306/162,303/448 is 15453

3 17, 306, 303
17 17, 102, 101
1, 6, 101

∴ So the LCM of the given numbers is 3 x 17 x 1 x 6 x 101 = 30906

Least Common Multiple of 17,306,303 with GCF Formula

Least Common Multiple of 17,306,303 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 17,306,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,306,303) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(17,306,303) x common factors =1 x 51 = 51

LCM(17,306,303) = ( 17 × 306 × 303 ) / 51

LCM(17,306,303) = 1576206 / 51

LCM(17,306,303) = 30906


Lets's calculate GCF of 660,162,448

2 660, 162, 448
330, 81, 224

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30906/2

Therefore the LCM of Fractions 17/660,306/162,303/448 is 15453

Greatest Common Factor of 660,162,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,162,448 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 660,162,448 . The biggest common factor number is the GCF number.
So the greatest common factor 660,162,448 is 2.


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 17/660, 306/162, 303/448

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 17/660, 306/162, 303/448?

Answer: LCM of Numerators as per given numbers 17/660, 306/162, 303/448 is

LCM of Numerators i.e. for 17,306,303 is 30906

GCF of denominators i.e. for 660,162,448 is 2.

Thus, LCM of Fractions is 15453.Finally, LCM of Fractions for 17/660, 306/162, 303/448 is 15453.