Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/10, 444/62, 582/922 quickly i.e. 279942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/10, 444/62, 582/922 is 279942.
LCM(52/10, 444/62, 582/922) = 279942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/10,444/62,582/922
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 52,444,582
Least Common Multiple of Numerators i.e. LCM of 52,444,582 is 559884.
GCF of Denominators means GCF of 10,62,922 as per the given fractions.
GCF of 10,62,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,444,582
2 | 52, 444, 582 |
2 | 26, 222, 291 |
3 | 13, 111, 291 |
13, 37, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 37 x 97 = 559884
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 52,444,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,444,582) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(52,444,582) x common factors =2 x 12 = 24
LCM(52,444,582) = ( 52 × 444 × 582 ) / 24
LCM(52,444,582) = 13437216 / 24
LCM(52,444,582) = 559884
Lets's calculate GCF of 10,62,922
2 | 10, 62, 922 |
5, 31, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 559884/2
Therefore the LCM of Fractions 52/10,444/62,582/922 is 279942
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 10,62,922 . The biggest common factor number is the GCF number.
So the greatest common factor 10,62,922 is 2.
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 52/10, 444/62, 582/922?
Answer: LCM of Numerators as per given numbers 52/10, 444/62, 582/922 is
LCM of Numerators i.e. for 52,444,582 is 559884
GCF of denominators i.e. for 10,62,922 is 2.
Thus, LCM of Fractions is 279942.Finally, LCM of Fractions for 52/10, 444/62, 582/922 is 279942.