Least Common Multiple of 17/18, 64/19, 972/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/18, 64/19, 972/529 quickly i.e. 264384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/18, 64/19, 972/529 is 264384.

LCM(17/18, 64/19, 972/529) = 264384

LCM of 17/18, 64/19, 972/529

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 17/18,64/19,972/529

Given numbers are 17/18,64/19,972/529

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 17,64,972

Least Common Multiple of Numerators i.e. LCM of 17,64,972 is 264384.

GCF of Denominators means GCF of 18,19,529 as per the given fractions.

GCF of 18,19,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,64,972

LCM of Fractions 17/18,64/19,972/529 is 264384

2 17, 64, 972
2 17, 32, 486
17, 16, 243

∴ So the LCM of the given numbers is 2 x 2 x 17 x 16 x 243 = 264384

Least Common Multiple of 17,64,972 with GCF Formula

Least Common Multiple of 17,64,972 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 17,64,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,64,972) = 1

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

GCF(17,64,972) x common factors =1 x 4 = 4

LCM(17,64,972) = ( 17 × 64 × 972 ) / 4

LCM(17,64,972) = 1057536 / 4

LCM(17,64,972) = 264384


Lets's calculate GCF of 18,19,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264384/1

Therefore the LCM of Fractions 17/18,64/19,972/529 is 264384

Greatest Common Factor of 18,19,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,19,529 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 18,19,529 . The biggest common factor number is the GCF number.
So the greatest common factor 18,19,529 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 17/18, 64/19, 972/529

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 17/18, 64/19, 972/529?

Answer: LCM of Numerators as per given numbers 17/18, 64/19, 972/529 is

LCM of Numerators i.e. for 17,64,972 is 264384

GCF of denominators i.e. for 18,19,529 is 1.

Thus, LCM of Fractions is 264384.Finally, LCM of Fractions for 17/18, 64/19, 972/529 is 264384.