Least Common Multiple of 165/284, 365/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/284, 365/351 quickly i.e. 12045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/284, 365/351 is 12045.

LCM(165/284, 365/351) = 12045

LCM of 165/284, 365/351

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 165/284,365/351

Given numbers are 165/284,365/351

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 165,365

Least Common Multiple of Numerators i.e. LCM of 165,365 is 12045.

GCF of Denominators means GCF of 284,351 as per the given fractions.

GCF of 284,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,365

LCM of Fractions 165/284,365/351 is 12045

5 165, 365
33, 73

∴ So the LCM of the given numbers is 5 x 33 x 73 = 12045

Least Common Multiple of 165,365 with GCF Formula

Least Common Multiple of 165,365 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 165,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,365) = 5

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

GCF(165,365) x common factors =5 x 1 = 5

LCM(165,365) = ( 165 × 365 ) / 5

LCM(165,365) = 60225 / 5

LCM(165,365) = 12045


Lets's calculate GCF of 284,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12045/1

Therefore the LCM of Fractions 165/284,365/351 is 12045

Greatest Common Factor of 284,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,351 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 284,351 . The biggest common factor number is the GCF number.
So the greatest common factor 284,351 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 165/284, 365/351

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 165/284, 365/351?

Answer: LCM of Numerators as per given numbers 165/284, 365/351 is

LCM of Numerators i.e. for 165,365 is 12045

GCF of denominators i.e. for 284,351 is 1.

Thus, LCM of Fractions is 12045.Finally, LCM of Fractions for 165/284, 365/351 is 12045.