Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/66, 46/192, 88/933 quickly i.e. 2024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/66, 46/192, 88/933 is 2024.
LCM(6/66, 46/192, 88/933) = 2024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/66,46/192,88/933
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 6,46,88
Least Common Multiple of Numerators i.e. LCM of 6,46,88 is 6072.
GCF of Denominators means GCF of 66,192,933 as per the given fractions.
GCF of 66,192,933 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,46,88
2 | 6, 46, 88 |
3, 23, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 44 = 6072
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 6,46,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,46,88) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,46,88) x common factors =2 x 2 = 4
LCM(6,46,88) = ( 6 × 46 × 88 ) / 4
LCM(6,46,88) = 24288 / 4
LCM(6,46,88) = 6072
Lets's calculate GCF of 66,192,933
3 | 66, 192, 933 |
22, 64, 311 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6072/3
Therefore the LCM of Fractions 6/66,46/192,88/933 is 2024
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 66,192,933 . The biggest common factor number is the GCF number.
So the greatest common factor 66,192,933 is 3.
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 6/66, 46/192, 88/933?
Answer: LCM of Numerators as per given numbers 6/66, 46/192, 88/933 is
LCM of Numerators i.e. for 6,46,88 is 6072
GCF of denominators i.e. for 66,192,933 is 3.
Thus, LCM of Fractions is 2024.Finally, LCM of Fractions for 6/66, 46/192, 88/933 is 2024.