Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/24, 66/916, 42/244 quickly i.e. 1386/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/24, 66/916, 42/244 is 1386/4.
LCM(9/24, 66/916, 42/244) = 1386/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/24,66/916,42/244
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 9,66,42
Least Common Multiple of Numerators i.e. LCM of 9,66,42 is 1386.
GCF of Denominators means GCF of 24,916,244 as per the given fractions.
GCF of 24,916,244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,66,42
2 | 9, 66, 42 |
3 | 9, 33, 21 |
3, 11, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 7 = 1386
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 9,66,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,66,42) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(9,66,42) x common factors =3 x 6 = 18
LCM(9,66,42) = ( 9 × 66 × 42 ) / 18
LCM(9,66,42) = 24948 / 18
LCM(9,66,42) = 1386
Lets's calculate GCF of 24,916,244
2 | 24, 916, 244 |
2 | 12, 458, 122 |
6, 229, 61 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1386/4
Therefore the LCM of Fractions 9/24,66/916,42/244 is 1386/4
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 24,916,244 . The biggest common factor number is the GCF number.
So the greatest common factor 24,916,244 is 4.
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 9/24, 66/916, 42/244?
Answer: LCM of Numerators as per given numbers 9/24, 66/916, 42/244 is
LCM of Numerators i.e. for 9,66,42 is 1386
GCF of denominators i.e. for 24,916,244 is 4.
Thus, LCM of Fractions is 1386/4.Finally, LCM of Fractions for 9/24, 66/916, 42/244 is 1386/4.