Least Common Multiple of 33/17, 18/18, 14/43, 34/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/17, 18/18, 14/43, 34/527 quickly i.e. 23562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/17, 18/18, 14/43, 34/527 is 23562.

LCM(33/17, 18/18, 14/43, 34/527) = 23562

LCM of 33/17, 18/18, 14/43, 34/527

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 33/17,18/18,14/43,34/527

Given numbers are 33/17,18/18,14/43,34/527

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 33,18,14,34

Least Common Multiple of Numerators i.e. LCM of 33,18,14,34 is 23562.

GCF of Denominators means GCF of 17,18,43,527 as per the given fractions.

GCF of 17,18,43,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,18,14,34

LCM of Fractions 33/17,18/18,14/43,34/527 is 23562

2 33, 18, 14, 34
3 33, 9, 7, 17
11, 3, 7, 17

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 7 x 17 = 23562

Least Common Multiple of 33,18,14,34 with GCF Formula

Least Common Multiple of 33,18,14,34 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 33,18,14,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,18,14,34) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(33,18,14,34) x common factors =1 x 12 = 12

LCM(33,18,14,34) = ( 33 × 18 × 14 × 34 ) / 12

LCM(33,18,14,34) = 282744 / 12

LCM(33,18,14,34) = 23562


Lets's calculate GCF of 17,18,43,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23562/1

Therefore the LCM of Fractions 33/17,18/18,14/43,34/527 is 23562

Greatest Common Factor of 17,18,43,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,18,43,527 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 17,18,43,527 . The biggest common factor number is the GCF number.
So the greatest common factor 17,18,43,527 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 33/17, 18/18, 14/43, 34/527

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 33/17, 18/18, 14/43, 34/527?

Answer: LCM of Numerators as per given numbers 33/17, 18/18, 14/43, 34/527 is

LCM of Numerators i.e. for 33,18,14,34 is 23562

GCF of denominators i.e. for 17,18,43,527 is 1.

Thus, LCM of Fractions is 23562.Finally, LCM of Fractions for 33/17, 18/18, 14/43, 34/527 is 23562.