Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/885, 92/590 quickly i.e. 460/295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/885, 92/590 is 460/295.
LCM(20/885, 92/590) = 460/295
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/885,92/590
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 20,92
Least Common Multiple of Numerators i.e. LCM of 20,92 is 460.
GCF of Denominators means GCF of 885,590 as per the given fractions.
GCF of 885,590 is 295 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,92
2 | 20, 92 |
2 | 10, 46 |
5, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 = 460
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 20,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,92) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,92) x common factors =4 x 1 = 4
LCM(20,92) = ( 20 × 92 ) / 4
LCM(20,92) = 1840 / 4
LCM(20,92) = 460
Lets's calculate GCF of 885,590
5 | 885, 590 |
59 | 177, 118 |
3, 2 |
∴ So the GCF of the given numbers is 5 x 59 = 295
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460/295
Therefore the LCM of Fractions 20/885,92/590 is 460/295
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 885,590 . The biggest common factor number is the GCF number.
So the greatest common factor 885,590 is 295.
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 20/885, 92/590?
Answer: LCM of Numerators as per given numbers 20/885, 92/590 is
LCM of Numerators i.e. for 20,92 is 460
GCF of denominators i.e. for 885,590 is 295.
Thus, LCM of Fractions is 460/295.Finally, LCM of Fractions for 20/885, 92/590 is 460/295.