Least Common Multiple of 9897/114, 9268/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9897/114, 9268/208 quickly i.e. 45862698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9897/114, 9268/208 is 45862698.

LCM(9897/114, 9268/208) = 45862698

LCM of 9897/114, 9268/208

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 9897/114,9268/208

Given numbers are 9897/114,9268/208

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 9897,9268

Least Common Multiple of Numerators i.e. LCM of 9897,9268 is 91725396.

GCF of Denominators means GCF of 114,208 as per the given fractions.

GCF of 114,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9897,9268

LCM of Fractions 9897/114,9268/208 is 45862698

Given numbers has no common factors except 1. So, there LCM is their product i.e 91725396

Least Common Multiple of 9897,9268 with GCF Formula

Least Common Multiple of 9897,9268 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 9897,9268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9897,9268) = 1

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

GCF(9897,9268) x common factors =1 x 1 = 1

LCM(9897,9268) = ( 9897 × 9268 ) / 1

LCM(9897,9268) = 91725396 / 1

LCM(9897,9268) = 91725396


Lets's calculate GCF of 114,208

2 114, 208
57, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91725396/2

Therefore the LCM of Fractions 9897/114,9268/208 is 45862698

Greatest Common Factor of 114,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,208 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

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

Greatest Common Factor

We found the factors 114,208 . The biggest common factor number is the GCF number.
So the greatest common factor 114,208 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 9897/114, 9268/208

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 9897/114, 9268/208?

Answer: LCM of Numerators as per given numbers 9897/114, 9268/208 is

LCM of Numerators i.e. for 9897,9268 is 91725396

GCF of denominators i.e. for 114,208 is 2.

Thus, LCM of Fractions is 45862698.Finally, LCM of Fractions for 9897/114, 9268/208 is 45862698.