Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9990/264, 3932/4384 quickly i.e. 19640340/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9990/264, 3932/4384 is 19640340/8.
LCM(9990/264, 3932/4384) = 19640340/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9990/264,3932/4384
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 9990,3932
Least Common Multiple of Numerators i.e. LCM of 9990,3932 is 19640340.
GCF of Denominators means GCF of 264,4384 as per the given fractions.
GCF of 264,4384 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9990,3932
2 | 9990, 3932 |
4995, 1966 |
∴ So the LCM of the given numbers is 2 x 4995 x 1966 = 19640340
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 9990,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9990,3932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9990,3932) x common factors =2 x 1 = 2
LCM(9990,3932) = ( 9990 × 3932 ) / 2
LCM(9990,3932) = 39280680 / 2
LCM(9990,3932) = 19640340
Lets's calculate GCF of 264,4384
2 | 264, 4384 |
2 | 132, 2192 |
2 | 66, 1096 |
33, 548 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19640340/8
Therefore the LCM of Fractions 9990/264,3932/4384 is 19640340/8
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 4384
List of positive integer factors of 4384 that divides 4384 without a remainder.
1,2,4,8,16,32,137,274,548,1096,2192,4384
Greatest Common Factor
We found the factors 264,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 264,4384 is 8.
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 9990/264, 3932/4384?
Answer: LCM of Numerators as per given numbers 9990/264, 3932/4384 is
LCM of Numerators i.e. for 9990,3932 is 19640340
GCF of denominators i.e. for 264,4384 is 8.
Thus, LCM of Fractions is 19640340/8.Finally, LCM of Fractions for 9990/264, 3932/4384 is 19640340/8.