Least Common Multiple of 699/360, 4609/9694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/360, 4609/9694 quickly i.e. 3221691/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/360, 4609/9694 is 3221691/2.

LCM(699/360, 4609/9694) = 3221691/2

LCM of 699/360, 4609/9694

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 699/360,4609/9694

Given numbers are 699/360,4609/9694

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 699,4609

Least Common Multiple of Numerators i.e. LCM of 699,4609 is 3221691.

GCF of Denominators means GCF of 360,9694 as per the given fractions.

GCF of 360,9694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,4609

LCM of Fractions 699/360,4609/9694 is 3221691/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3221691

Least Common Multiple of 699,4609 with GCF Formula

Least Common Multiple of 699,4609 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 699,4609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,4609) = 1

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

GCF(699,4609) x common factors =1 x 1 = 1

LCM(699,4609) = ( 699 × 4609 ) / 1

LCM(699,4609) = 3221691 / 1

LCM(699,4609) = 3221691


Lets's calculate GCF of 360,9694

2 360, 9694
180, 4847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3221691/2

Therefore the LCM of Fractions 699/360,4609/9694 is 3221691/2

Greatest Common Factor of 360,9694 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,9694 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 9694

List of positive integer factors of 9694 that divides 9694 without a remainder.

1,2,37,74,131,262,4847,9694

Greatest Common Factor

We found the factors 360,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 360,9694 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 699/360, 4609/9694

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 699/360, 4609/9694?

Answer: LCM of Numerators as per given numbers 699/360, 4609/9694 is

LCM of Numerators i.e. for 699,4609 is 3221691

GCF of denominators i.e. for 360,9694 is 2.

Thus, LCM of Fractions is 3221691/2.Finally, LCM of Fractions for 699/360, 4609/9694 is 3221691/2.