Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2206/190, 9927/9693 quickly i.e. 19854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2206/190, 9927/9693 is 19854.
LCM(2206/190, 9927/9693) = 19854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2206/190,9927/9693
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 2206,9927
Least Common Multiple of Numerators i.e. LCM of 2206,9927 is 19854.
GCF of Denominators means GCF of 190,9693 as per the given fractions.
GCF of 190,9693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2206,9927
1103 | 2206, 9927 |
2, 9 |
∴ So the LCM of the given numbers is 1103 x 2 x 9 = 19854
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 2206,9927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2206,9927) = 1103
common factors(in case of two or more numbers have common factors) = 1
GCF(2206,9927) x common factors =1103 x 1 = 1103
LCM(2206,9927) = ( 2206 × 9927 ) / 1103
LCM(2206,9927) = 21898962 / 1103
LCM(2206,9927) = 19854
Lets's calculate GCF of 190,9693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19854/1
Therefore the LCM of Fractions 2206/190,9927/9693 is 19854
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 9693
List of positive integer factors of 9693 that divides 9693 without a remainder.
1,3,9,27,359,1077,3231,9693
Greatest Common Factor
We found the factors 190,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 190,9693 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 2206/190, 9927/9693?
Answer: LCM of Numerators as per given numbers 2206/190, 9927/9693 is
LCM of Numerators i.e. for 2206,9927 is 19854
GCF of denominators i.e. for 190,9693 is 1.
Thus, LCM of Fractions is 19854.Finally, LCM of Fractions for 2206/190, 9927/9693 is 19854.