Least Common Multiple of 17/562, 66/274, 286/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/562, 66/274, 286/432 quickly i.e. 7293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/562, 66/274, 286/432 is 7293.

LCM(17/562, 66/274, 286/432) = 7293

LCM of 17/562, 66/274, 286/432

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 17/562,66/274,286/432

Given numbers are 17/562,66/274,286/432

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 17,66,286

Least Common Multiple of Numerators i.e. LCM of 17,66,286 is 14586.

GCF of Denominators means GCF of 562,274,432 as per the given fractions.

GCF of 562,274,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,66,286

LCM of Fractions 17/562,66/274,286/432 is 7293

2 17, 66, 286
11 17, 33, 143
17, 3, 13

∴ So the LCM of the given numbers is 2 x 11 x 17 x 3 x 13 = 14586

Least Common Multiple of 17,66,286 with GCF Formula

Least Common Multiple of 17,66,286 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 17,66,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,66,286) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(17,66,286) x common factors =1 x 22 = 22

LCM(17,66,286) = ( 17 × 66 × 286 ) / 22

LCM(17,66,286) = 320892 / 22

LCM(17,66,286) = 14586


Lets's calculate GCF of 562,274,432

2 562, 274, 432
281, 137, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14586/2

Therefore the LCM of Fractions 17/562,66/274,286/432 is 7293

Greatest Common Factor of 562,274,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,274,432 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 562,274,432 . The biggest common factor number is the GCF number.
So the greatest common factor 562,274,432 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 17/562, 66/274, 286/432

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 17/562, 66/274, 286/432?

Answer: LCM of Numerators as per given numbers 17/562, 66/274, 286/432 is

LCM of Numerators i.e. for 17,66,286 is 14586

GCF of denominators i.e. for 562,274,432 is 2.

Thus, LCM of Fractions is 7293.Finally, LCM of Fractions for 17/562, 66/274, 286/432 is 7293.