Least Common Multiple of 31/818, 9805/9916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/818, 9805/9916 quickly i.e. 303955/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/818, 9805/9916 is 303955/2.

LCM(31/818, 9805/9916) = 303955/2

LCM of 31/818, 9805/9916

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 31/818,9805/9916

Given numbers are 31/818,9805/9916

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 31,9805

Least Common Multiple of Numerators i.e. LCM of 31,9805 is 303955.

GCF of Denominators means GCF of 818,9916 as per the given fractions.

GCF of 818,9916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,9805

LCM of Fractions 31/818,9805/9916 is 303955/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 303955

Least Common Multiple of 31,9805 with GCF Formula

Least Common Multiple of 31,9805 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 31,9805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,9805) = 1

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

GCF(31,9805) x common factors =1 x 1 = 1

LCM(31,9805) = ( 31 × 9805 ) / 1

LCM(31,9805) = 303955 / 1

LCM(31,9805) = 303955


Lets's calculate GCF of 818,9916

2 818, 9916
409, 4958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303955/2

Therefore the LCM of Fractions 31/818,9805/9916 is 303955/2

Greatest Common Factor of 818,9916 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,9916 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 9916

List of positive integer factors of 9916 that divides 9916 without a remainder.

1,2,4,37,67,74,134,148,268,2479,4958,9916

Greatest Common Factor

We found the factors 818,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 818,9916 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 31/818, 9805/9916

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 31/818, 9805/9916?

Answer: LCM of Numerators as per given numbers 31/818, 9805/9916 is

LCM of Numerators i.e. for 31,9805 is 303955

GCF of denominators i.e. for 818,9916 is 2.

Thus, LCM of Fractions is 303955/2.Finally, LCM of Fractions for 31/818, 9805/9916 is 303955/2.