Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/464, 36/247 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/464, 36/247 is 180.
LCM(20/464, 36/247) = 180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/464,36/247
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 20,36
Least Common Multiple of Numerators i.e. LCM of 20,36 is 180.
GCF of Denominators means GCF of 464,247 as per the given fractions.
GCF of 464,247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,36
2 | 20, 36 |
2 | 10, 18 |
5, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 9 = 180
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 20,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,36) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,36) x common factors =4 x 1 = 4
LCM(20,36) = ( 20 × 36 ) / 4
LCM(20,36) = 720 / 4
LCM(20,36) = 180
Lets's calculate GCF of 464,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/1
Therefore the LCM of Fractions 20/464,36/247 is 180
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 464,247 . The biggest common factor number is the GCF number.
So the greatest common factor 464,247 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 20/464, 36/247?
Answer: LCM of Numerators as per given numbers 20/464, 36/247 is
LCM of Numerators i.e. for 20,36 is 180
GCF of denominators i.e. for 464,247 is 1.
Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 20/464, 36/247 is 180.