Least Common Multiple of 1661/360, 9689/6189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1661/360, 9689/6189 quickly i.e. 16093429/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1661/360, 9689/6189 is 16093429/3.

LCM(1661/360, 9689/6189) = 16093429/3

LCM of 1661/360, 9689/6189

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 1661/360,9689/6189

Given numbers are 1661/360,9689/6189

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 1661,9689

Least Common Multiple of Numerators i.e. LCM of 1661,9689 is 16093429.

GCF of Denominators means GCF of 360,6189 as per the given fractions.

GCF of 360,6189 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1661,9689

LCM of Fractions 1661/360,9689/6189 is 16093429/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 16093429

Least Common Multiple of 1661,9689 with GCF Formula

Least Common Multiple of 1661,9689 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 1661,9689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1661,9689) = 1

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

GCF(1661,9689) x common factors =1 x 1 = 1

LCM(1661,9689) = ( 1661 × 9689 ) / 1

LCM(1661,9689) = 16093429 / 1

LCM(1661,9689) = 16093429


Lets's calculate GCF of 360,6189

3 360, 6189
120, 2063

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16093429/3

Therefore the LCM of Fractions 1661/360,9689/6189 is 16093429/3

Greatest Common Factor of 360,6189 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,6189 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 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1,3,2063,6189

Greatest Common Factor

We found the factors 360,6189 . The biggest common factor number is the GCF number.
So the greatest common factor 360,6189 is 3.


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 1661/360, 9689/6189

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 1661/360, 9689/6189?

Answer: LCM of Numerators as per given numbers 1661/360, 9689/6189 is

LCM of Numerators i.e. for 1661,9689 is 16093429

GCF of denominators i.e. for 360,6189 is 3.

Thus, LCM of Fractions is 16093429/3.Finally, LCM of Fractions for 1661/360, 9689/6189 is 16093429/3.