Least Common Multiple of 3606/928, 9689/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3606/928, 9689/783 quickly i.e. 34938534/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3606/928, 9689/783 is 34938534/29.

LCM(3606/928, 9689/783) = 34938534/29

LCM of 3606/928, 9689/783

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 3606/928,9689/783

Given numbers are 3606/928,9689/783

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 3606,9689

Least Common Multiple of Numerators i.e. LCM of 3606,9689 is 34938534.

GCF of Denominators means GCF of 928,783 as per the given fractions.

GCF of 928,783 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3606,9689

LCM of Fractions 3606/928,9689/783 is 34938534/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 34938534

Least Common Multiple of 3606,9689 with GCF Formula

Least Common Multiple of 3606,9689 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 3606,9689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3606,9689) = 1

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

GCF(3606,9689) x common factors =1 x 1 = 1

LCM(3606,9689) = ( 3606 × 9689 ) / 1

LCM(3606,9689) = 34938534 / 1

LCM(3606,9689) = 34938534


Lets's calculate GCF of 928,783

29 928, 783
32, 27

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34938534/29

Therefore the LCM of Fractions 3606/928,9689/783 is 34938534/29

Greatest Common Factor of 928,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,783 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 928,783 . The biggest common factor number is the GCF number.
So the greatest common factor 928,783 is 29.


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 3606/928, 9689/783

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 3606/928, 9689/783?

Answer: LCM of Numerators as per given numbers 3606/928, 9689/783 is

LCM of Numerators i.e. for 3606,9689 is 34938534

GCF of denominators i.e. for 928,783 is 29.

Thus, LCM of Fractions is 34938534/29.Finally, LCM of Fractions for 3606/928, 9689/783 is 34938534/29.