Least Common Multiple of 17/47, 27/27, 469/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/47, 27/27, 469/626 quickly i.e. 215271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/47, 27/27, 469/626 is 215271.

LCM(17/47, 27/27, 469/626) = 215271

LCM of 17/47, 27/27, 469/626

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 17/47,27/27,469/626

Given numbers are 17/47,27/27,469/626

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 17,27,469

Least Common Multiple of Numerators i.e. LCM of 17,27,469 is 215271.

GCF of Denominators means GCF of 47,27,626 as per the given fractions.

GCF of 47,27,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,27,469

LCM of Fractions 17/47,27/27,469/626 is 215271

Given numbers has no common factors except 1. So, there LCM is their product i.e 215271

Least Common Multiple of 17,27,469 with GCF Formula

Least Common Multiple of 17,27,469 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 17,27,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,27,469) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,27,469) x common factors =1 x 1 = 1

LCM(17,27,469) = ( 17 × 27 × 469 ) / 1

LCM(17,27,469) = 215271 / 1

LCM(17,27,469) = 215271


Lets's calculate GCF of 47,27,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215271/1

Therefore the LCM of Fractions 17/47,27/27,469/626 is 215271

Greatest Common Factor of 47,27,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,27,626 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 47,27,626 . The biggest common factor number is the GCF number.
So the greatest common factor 47,27,626 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 17/47, 27/27, 469/626

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 17/47, 27/27, 469/626?

Answer: LCM of Numerators as per given numbers 17/47, 27/27, 469/626 is

LCM of Numerators i.e. for 17,27,469 is 215271

GCF of denominators i.e. for 47,27,626 is 1.

Thus, LCM of Fractions is 215271.Finally, LCM of Fractions for 17/47, 27/27, 469/626 is 215271.