Least Common Multiple of 36/58, 17/54, 65/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/58, 17/54, 65/560 quickly i.e. 19890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/58, 17/54, 65/560 is 19890.

LCM(36/58, 17/54, 65/560) = 19890

LCM of 36/58, 17/54, 65/560

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 36/58,17/54,65/560

Given numbers are 36/58,17/54,65/560

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 36,17,65

Least Common Multiple of Numerators i.e. LCM of 36,17,65 is 39780.

GCF of Denominators means GCF of 58,54,560 as per the given fractions.

GCF of 58,54,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,17,65

LCM of Fractions 36/58,17/54,65/560 is 19890

Given numbers has no common factors except 1. So, there LCM is their product i.e 39780

Least Common Multiple of 36,17,65 with GCF Formula

Least Common Multiple of 36,17,65 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 36,17,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,17,65) = 1

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

GCF(36,17,65) x common factors =1 x 1 = 1

LCM(36,17,65) = ( 36 × 17 × 65 ) / 1

LCM(36,17,65) = 39780 / 1

LCM(36,17,65) = 39780


Lets's calculate GCF of 58,54,560

2 58, 54, 560
29, 27, 280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39780/2

Therefore the LCM of Fractions 36/58,17/54,65/560 is 19890

Greatest Common Factor of 58,54,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,54,560 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 58,54,560 . The biggest common factor number is the GCF number.
So the greatest common factor 58,54,560 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 36/58, 17/54, 65/560

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 36/58, 17/54, 65/560?

Answer: LCM of Numerators as per given numbers 36/58, 17/54, 65/560 is

LCM of Numerators i.e. for 36,17,65 is 39780

GCF of denominators i.e. for 58,54,560 is 2.

Thus, LCM of Fractions is 19890.Finally, LCM of Fractions for 36/58, 17/54, 65/560 is 19890.