Least Common Multiple of 11/400, 8259/9926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/400, 8259/9926 quickly i.e. 90849/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/400, 8259/9926 is 90849/2.

LCM(11/400, 8259/9926) = 90849/2

LCM of 11/400, 8259/9926

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 11/400,8259/9926

Given numbers are 11/400,8259/9926

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 11,8259

Least Common Multiple of Numerators i.e. LCM of 11,8259 is 90849.

GCF of Denominators means GCF of 400,9926 as per the given fractions.

GCF of 400,9926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,8259

LCM of Fractions 11/400,8259/9926 is 90849/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 90849

Least Common Multiple of 11,8259 with GCF Formula

Least Common Multiple of 11,8259 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 11,8259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,8259) = 1

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

GCF(11,8259) x common factors =1 x 1 = 1

LCM(11,8259) = ( 11 × 8259 ) / 1

LCM(11,8259) = 90849 / 1

LCM(11,8259) = 90849


Lets's calculate GCF of 400,9926

2 400, 9926
200, 4963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90849/2

Therefore the LCM of Fractions 11/400,8259/9926 is 90849/2

Greatest Common Factor of 400,9926 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,9926 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1,2,7,14,709,1418,4963,9926

Greatest Common Factor

We found the factors 400,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 400,9926 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 11/400, 8259/9926

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 11/400, 8259/9926?

Answer: LCM of Numerators as per given numbers 11/400, 8259/9926 is

LCM of Numerators i.e. for 11,8259 is 90849

GCF of denominators i.e. for 400,9926 is 2.

Thus, LCM of Fractions is 90849/2.Finally, LCM of Fractions for 11/400, 8259/9926 is 90849/2.