Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 558/42, 864/16, 816/44 quickly i.e. 227664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 558/42, 864/16, 816/44 is 227664.
LCM(558/42, 864/16, 816/44) = 227664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 558/42,864/16,816/44
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 558,864,816
Least Common Multiple of Numerators i.e. LCM of 558,864,816 is 455328.
GCF of Denominators means GCF of 42,16,44 as per the given fractions.
GCF of 42,16,44 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 558,864,816
2 | 558, 864, 816 |
2 | 279, 432, 408 |
2 | 279, 216, 204 |
2 | 279, 108, 102 |
3 | 279, 54, 51 |
3 | 93, 18, 17 |
31, 6, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 31 x 6 x 17 = 455328
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 558,864,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,864,816) = 6
common factors(in case of two or more numbers have common factors) = 144
GCF(558,864,816) x common factors =6 x 144 = 864
LCM(558,864,816) = ( 558 × 864 × 816 ) / 864
LCM(558,864,816) = 393403392 / 864
LCM(558,864,816) = 455328
Lets's calculate GCF of 42,16,44
2 | 42, 16, 44 |
21, 8, 22 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455328/2
Therefore the LCM of Fractions 558/42,864/16,816/44 is 227664
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Greatest Common Factor
We found the factors 42,16,44 . The biggest common factor number is the GCF number.
So the greatest common factor 42,16,44 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 558/42, 864/16, 816/44?
Answer: LCM of Numerators as per given numbers 558/42, 864/16, 816/44 is
LCM of Numerators i.e. for 558,864,816 is 455328
GCF of denominators i.e. for 42,16,44 is 2.
Thus, LCM of Fractions is 227664.Finally, LCM of Fractions for 558/42, 864/16, 816/44 is 227664.