Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/988, 2618/9353 quickly i.e. 20944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/988, 2618/9353 is 20944.
LCM(16/988, 2618/9353) = 20944
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/988,2618/9353
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 16,2618
Least Common Multiple of Numerators i.e. LCM of 16,2618 is 20944.
GCF of Denominators means GCF of 988,9353 as per the given fractions.
GCF of 988,9353 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,2618
2 | 16, 2618 |
8, 1309 |
∴ So the LCM of the given numbers is 2 x 8 x 1309 = 20944
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 16,2618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,2618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,2618) x common factors =2 x 1 = 2
LCM(16,2618) = ( 16 × 2618 ) / 2
LCM(16,2618) = 41888 / 2
LCM(16,2618) = 20944
Lets's calculate GCF of 988,9353
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20944/1
Therefore the LCM of Fractions 16/988,2618/9353 is 20944
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 9353
List of positive integer factors of 9353 that divides 9353 without a remainder.
1,47,199,9353
Greatest Common Factor
We found the factors 988,9353 . The biggest common factor number is the GCF number.
So the greatest common factor 988,9353 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 16/988, 2618/9353?
Answer: LCM of Numerators as per given numbers 16/988, 2618/9353 is
LCM of Numerators i.e. for 16,2618 is 20944
GCF of denominators i.e. for 988,9353 is 1.
Thus, LCM of Fractions is 20944.Finally, LCM of Fractions for 16/988, 2618/9353 is 20944.