Least Common Multiple of 9365/389, 1587/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9365/389, 1587/284 quickly i.e. 14862255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9365/389, 1587/284 is 14862255.

LCM(9365/389, 1587/284) = 14862255

LCM of 9365/389, 1587/284

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 9365/389,1587/284

Given numbers are 9365/389,1587/284

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 9365,1587

Least Common Multiple of Numerators i.e. LCM of 9365,1587 is 14862255.

GCF of Denominators means GCF of 389,284 as per the given fractions.

GCF of 389,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9365,1587

LCM of Fractions 9365/389,1587/284 is 14862255

Given numbers has no common factors except 1. So, there LCM is their product i.e 14862255

Least Common Multiple of 9365,1587 with GCF Formula

Least Common Multiple of 9365,1587 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 9365,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9365,1587) = 1

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

GCF(9365,1587) x common factors =1 x 1 = 1

LCM(9365,1587) = ( 9365 × 1587 ) / 1

LCM(9365,1587) = 14862255 / 1

LCM(9365,1587) = 14862255


Lets's calculate GCF of 389,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14862255/1

Therefore the LCM of Fractions 9365/389,1587/284 is 14862255

Greatest Common Factor of 389,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,284 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 284

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

1,2,4,71,142,284

Greatest Common Factor

We found the factors 389,284 . The biggest common factor number is the GCF number.
So the greatest common factor 389,284 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 9365/389, 1587/284

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 9365/389, 1587/284?

Answer: LCM of Numerators as per given numbers 9365/389, 1587/284 is

LCM of Numerators i.e. for 9365,1587 is 14862255

GCF of denominators i.e. for 389,284 is 1.

Thus, LCM of Fractions is 14862255.Finally, LCM of Fractions for 9365/389, 1587/284 is 14862255.