Least Common Multiple of 1284/368, 9017/9738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1284/368, 9017/9738 quickly i.e. 5788914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1284/368, 9017/9738 is 5788914.

LCM(1284/368, 9017/9738) = 5788914

LCM of 1284/368, 9017/9738

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 1284/368,9017/9738

Given numbers are 1284/368,9017/9738

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 1284,9017

Least Common Multiple of Numerators i.e. LCM of 1284,9017 is 11577828.

GCF of Denominators means GCF of 368,9738 as per the given fractions.

GCF of 368,9738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1284,9017

LCM of Fractions 1284/368,9017/9738 is 5788914

Given numbers has no common factors except 1. So, there LCM is their product i.e 11577828

Least Common Multiple of 1284,9017 with GCF Formula

Least Common Multiple of 1284,9017 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 1284,9017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1284,9017) = 1

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

GCF(1284,9017) x common factors =1 x 1 = 1

LCM(1284,9017) = ( 1284 × 9017 ) / 1

LCM(1284,9017) = 11577828 / 1

LCM(1284,9017) = 11577828


Lets's calculate GCF of 368,9738

2 368, 9738
184, 4869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11577828/2

Therefore the LCM of Fractions 1284/368,9017/9738 is 5788914

Greatest Common Factor of 368,9738 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,9738 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Greatest Common Factor

We found the factors 368,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 368,9738 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 1284/368, 9017/9738

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 1284/368, 9017/9738?

Answer: LCM of Numerators as per given numbers 1284/368, 9017/9738 is

LCM of Numerators i.e. for 1284,9017 is 11577828

GCF of denominators i.e. for 368,9738 is 2.

Thus, LCM of Fractions is 5788914.Finally, LCM of Fractions for 1284/368, 9017/9738 is 5788914.