Least Common Multiple of 11/208, 9029/7786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/208, 9029/7786 quickly i.e. 99319/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/208, 9029/7786 is 99319/2.

LCM(11/208, 9029/7786) = 99319/2

LCM of 11/208, 9029/7786

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 11/208,9029/7786

Given numbers are 11/208,9029/7786

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 11,9029

Least Common Multiple of Numerators i.e. LCM of 11,9029 is 99319.

GCF of Denominators means GCF of 208,7786 as per the given fractions.

GCF of 208,7786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,9029

LCM of Fractions 11/208,9029/7786 is 99319/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 99319

Least Common Multiple of 11,9029 with GCF Formula

Least Common Multiple of 11,9029 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 11,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,9029) = 1

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

GCF(11,9029) x common factors =1 x 1 = 1

LCM(11,9029) = ( 11 × 9029 ) / 1

LCM(11,9029) = 99319 / 1

LCM(11,9029) = 99319


Lets's calculate GCF of 208,7786

2 208, 7786
104, 3893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99319/2

Therefore the LCM of Fractions 11/208,9029/7786 is 99319/2

Greatest Common Factor of 208,7786 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,7786 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 7786

List of positive integer factors of 7786 that divides 7786 without a remainder.

1,2,17,34,229,458,3893,7786

Greatest Common Factor

We found the factors 208,7786 . The biggest common factor number is the GCF number.
So the greatest common factor 208,7786 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 11/208, 9029/7786

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 11/208, 9029/7786?

Answer: LCM of Numerators as per given numbers 11/208, 9029/7786 is

LCM of Numerators i.e. for 11,9029 is 99319

GCF of denominators i.e. for 208,7786 is 2.

Thus, LCM of Fractions is 99319/2.Finally, LCM of Fractions for 11/208, 9029/7786 is 99319/2.