Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/488, 42/977, 233/809 quickly i.e. 58716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/488, 42/977, 233/809 is 58716.
LCM(36/488, 42/977, 233/809) = 58716
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/488,42/977,233/809
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 36,42,233
Least Common Multiple of Numerators i.e. LCM of 36,42,233 is 58716.
GCF of Denominators means GCF of 488,977,809 as per the given fractions.
GCF of 488,977,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,42,233
2 | 36, 42, 233 |
3 | 18, 21, 233 |
6, 7, 233 |
∴ So the LCM of the given numbers is 2 x 3 x 6 x 7 x 233 = 58716
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 36,42,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,42,233) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(36,42,233) x common factors =1 x 6 = 6
LCM(36,42,233) = ( 36 × 42 × 233 ) / 6
LCM(36,42,233) = 352296 / 6
LCM(36,42,233) = 58716
Lets's calculate GCF of 488,977,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58716/1
Therefore the LCM of Fractions 36/488,42/977,233/809 is 58716
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 488,977,809 . The biggest common factor number is the GCF number.
So the greatest common factor 488,977,809 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 36/488, 42/977, 233/809?
Answer: LCM of Numerators as per given numbers 36/488, 42/977, 233/809 is
LCM of Numerators i.e. for 36,42,233 is 58716
GCF of denominators i.e. for 488,977,809 is 1.
Thus, LCM of Fractions is 58716.Finally, LCM of Fractions for 36/488, 42/977, 233/809 is 58716.