Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/38, 85/533, 582/855 quickly i.e. 1385160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/38, 85/533, 582/855 is 1385160.
LCM(56/38, 85/533, 582/855) = 1385160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/38,85/533,582/855
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 56,85,582
Least Common Multiple of Numerators i.e. LCM of 56,85,582 is 1385160.
GCF of Denominators means GCF of 38,533,855 as per the given fractions.
GCF of 38,533,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,85,582
2 | 56, 85, 582 |
28, 85, 291 |
∴ So the LCM of the given numbers is 2 x 28 x 85 x 291 = 1385160
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 56,85,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,85,582) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,85,582) x common factors =1 x 2 = 2
LCM(56,85,582) = ( 56 × 85 × 582 ) / 2
LCM(56,85,582) = 2770320 / 2
LCM(56,85,582) = 1385160
Lets's calculate GCF of 38,533,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1385160/1
Therefore the LCM of Fractions 56/38,85/533,582/855 is 1385160
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 38,533,855 . The biggest common factor number is the GCF number.
So the greatest common factor 38,533,855 is 1.
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 56/38, 85/533, 582/855?
Answer: LCM of Numerators as per given numbers 56/38, 85/533, 582/855 is
LCM of Numerators i.e. for 56,85,582 is 1385160
GCF of denominators i.e. for 38,533,855 is 1.
Thus, LCM of Fractions is 1385160.Finally, LCM of Fractions for 56/38, 85/533, 582/855 is 1385160.