Least Common Multiple of 17/22, 16/66, 52/36, 19/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/22, 16/66, 52/36, 19/422 quickly i.e. 33592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/22, 16/66, 52/36, 19/422 is 33592.

LCM(17/22, 16/66, 52/36, 19/422) = 33592

LCM of 17/22, 16/66, 52/36, 19/422

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 17/22,16/66,52/36,19/422

Given numbers are 17/22,16/66,52/36,19/422

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 17,16,52,19

Least Common Multiple of Numerators i.e. LCM of 17,16,52,19 is 67184.

GCF of Denominators means GCF of 22,66,36,422 as per the given fractions.

GCF of 22,66,36,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,16,52,19

LCM of Fractions 17/22,16/66,52/36,19/422 is 33592

2 17, 16, 52, 19
2 17, 8, 26, 19
17, 4, 13, 19

∴ So the LCM of the given numbers is 2 x 2 x 17 x 4 x 13 x 19 = 67184

Least Common Multiple of 17,16,52,19 with GCF Formula

Least Common Multiple of 17,16,52,19 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 17,16,52,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,16,52,19) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,16,52,19) x common factors =1 x 4 = 4

LCM(17,16,52,19) = ( 17 × 16 × 52 × 19 ) / 4

LCM(17,16,52,19) = 268736 / 4

LCM(17,16,52,19) = 67184


Lets's calculate GCF of 22,66,36,422

2 22, 66, 36, 422
11, 33, 18, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67184/2

Therefore the LCM of Fractions 17/22,16/66,52/36,19/422 is 33592

Greatest Common Factor of 22,66,36,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,66,36,422 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 22,66,36,422 . The biggest common factor number is the GCF number.
So the greatest common factor 22,66,36,422 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 17/22, 16/66, 52/36, 19/422

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 17/22, 16/66, 52/36, 19/422?

Answer: LCM of Numerators as per given numbers 17/22, 16/66, 52/36, 19/422 is

LCM of Numerators i.e. for 17,16,52,19 is 67184

GCF of denominators i.e. for 22,66,36,422 is 2.

Thus, LCM of Fractions is 33592.Finally, LCM of Fractions for 17/22, 16/66, 52/36, 19/422 is 33592.