Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9666/55, 4184/535 quickly i.e. 20221272/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9666/55, 4184/535 is 20221272/5.
LCM(9666/55, 4184/535) = 20221272/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9666/55,4184/535
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 9666,4184
Least Common Multiple of Numerators i.e. LCM of 9666,4184 is 20221272.
GCF of Denominators means GCF of 55,535 as per the given fractions.
GCF of 55,535 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9666,4184
2 | 9666, 4184 |
4833, 2092 |
∴ So the LCM of the given numbers is 2 x 4833 x 2092 = 20221272
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 9666,4184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9666,4184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9666,4184) x common factors =2 x 1 = 2
LCM(9666,4184) = ( 9666 × 4184 ) / 2
LCM(9666,4184) = 40442544 / 2
LCM(9666,4184) = 20221272
Lets's calculate GCF of 55,535
5 | 55, 535 |
11, 107 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20221272/5
Therefore the LCM of Fractions 9666/55,4184/535 is 20221272/5
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 55,535 . The biggest common factor number is the GCF number.
So the greatest common factor 55,535 is 5.
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 9666/55, 4184/535?
Answer: LCM of Numerators as per given numbers 9666/55, 4184/535 is
LCM of Numerators i.e. for 9666,4184 is 20221272
GCF of denominators i.e. for 55,535 is 5.
Thus, LCM of Fractions is 20221272/5.Finally, LCM of Fractions for 9666/55, 4184/535 is 20221272/5.