Least Common Multiple of 9861/360, 3116/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9861/360, 3116/796 quickly i.e. 404301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9861/360, 3116/796 is 404301.

LCM(9861/360, 3116/796) = 404301

LCM of 9861/360, 3116/796

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 9861/360,3116/796

Given numbers are 9861/360,3116/796

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 9861,3116

Least Common Multiple of Numerators i.e. LCM of 9861,3116 is 1617204.

GCF of Denominators means GCF of 360,796 as per the given fractions.

GCF of 360,796 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9861,3116

LCM of Fractions 9861/360,3116/796 is 404301

19 9861, 3116
519, 164

∴ So the LCM of the given numbers is 19 x 519 x 164 = 1617204

Least Common Multiple of 9861,3116 with GCF Formula

Least Common Multiple of 9861,3116 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 9861,3116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9861,3116) = 19

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

GCF(9861,3116) x common factors =19 x 1 = 19

LCM(9861,3116) = ( 9861 × 3116 ) / 19

LCM(9861,3116) = 30726876 / 19

LCM(9861,3116) = 1617204


Lets's calculate GCF of 360,796

2 360, 796
2 180, 398
90, 199

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1617204/4

Therefore the LCM of Fractions 9861/360,3116/796 is 404301

Greatest Common Factor of 360,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,796 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 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 360,796 . The biggest common factor number is the GCF number.
So the greatest common factor 360,796 is 4.


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 9861/360, 3116/796

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 9861/360, 3116/796?

Answer: LCM of Numerators as per given numbers 9861/360, 3116/796 is

LCM of Numerators i.e. for 9861,3116 is 1617204

GCF of denominators i.e. for 360,796 is 4.

Thus, LCM of Fractions is 404301.Finally, LCM of Fractions for 9861/360, 3116/796 is 404301.