Least Common Multiple of 17/18, 71/64, 89/65, 20/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/18, 71/64, 89/65, 20/219 quickly i.e. 2148460 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, 71/64, 89/65, 20/219 is 2148460.

LCM(17/18, 71/64, 89/65, 20/219) = 2148460

LCM of 17/18, 71/64, 89/65, 20/219

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 17/18,71/64,89/65,20/219

Given numbers are 17/18,71/64,89/65,20/219

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 17,71,89,20

Least Common Multiple of Numerators i.e. LCM of 17,71,89,20 is 2148460.

GCF of Denominators means GCF of 18,64,65,219 as per the given fractions.

GCF of 18,64,65,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,71,89,20

LCM of Fractions 17/18,71/64,89/65,20/219 is 2148460

Given numbers has no common factors except 1. So, there LCM is their product i.e 2148460

Least Common Multiple of 17,71,89,20 with GCF Formula

Least Common Multiple of 17,71,89,20 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 17,71,89,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,71,89,20) = 1

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

GCF(17,71,89,20) x common factors =1 x 1 = 1

LCM(17,71,89,20) = ( 17 × 71 × 89 × 20 ) / 1

LCM(17,71,89,20) = 2148460 / 1

LCM(17,71,89,20) = 2148460


Lets's calculate GCF of 18,64,65,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2148460/1

Therefore the LCM of Fractions 17/18,71/64,89/65,20/219 is 2148460

Greatest Common Factor of 18,64,65,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,64,65,219 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 18,64,65,219 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,65,219 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, 71/64, 89/65, 20/219

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, 71/64, 89/65, 20/219?

Answer: LCM of Numerators as per given numbers 17/18, 71/64, 89/65, 20/219 is

LCM of Numerators i.e. for 17,71,89,20 is 2148460

GCF of denominators i.e. for 18,64,65,219 is 1.

Thus, LCM of Fractions is 2148460.Finally, LCM of Fractions for 17/18, 71/64, 89/65, 20/219 is 2148460.