Least Common Multiple of 362/16, 165/9217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/16, 165/9217 quickly i.e. 59730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/16, 165/9217 is 59730.

LCM(362/16, 165/9217) = 59730

LCM of 362/16, 165/9217

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 362/16,165/9217

Given numbers are 362/16,165/9217

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 362,165

Least Common Multiple of Numerators i.e. LCM of 362,165 is 59730.

GCF of Denominators means GCF of 16,9217 as per the given fractions.

GCF of 16,9217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,165

LCM of Fractions 362/16,165/9217 is 59730

Given numbers has no common factors except 1. So, there LCM is their product i.e 59730

Least Common Multiple of 362,165 with GCF Formula

Least Common Multiple of 362,165 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 362,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,165) = 1

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

GCF(362,165) x common factors =1 x 1 = 1

LCM(362,165) = ( 362 × 165 ) / 1

LCM(362,165) = 59730 / 1

LCM(362,165) = 59730


Lets's calculate GCF of 16,9217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59730/1

Therefore the LCM of Fractions 362/16,165/9217 is 59730

Greatest Common Factor of 16,9217 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,9217 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Greatest Common Factor

We found the factors 16,9217 . The biggest common factor number is the GCF number.
So the greatest common factor 16,9217 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 362/16, 165/9217

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 362/16, 165/9217?

Answer: LCM of Numerators as per given numbers 362/16, 165/9217 is

LCM of Numerators i.e. for 362,165 is 59730

GCF of denominators i.e. for 16,9217 is 1.

Thus, LCM of Fractions is 59730.Finally, LCM of Fractions for 362/16, 165/9217 is 59730.