Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/483, 55/560, 583/256 quickly i.e. 177815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/483, 55/560, 583/256 is 177815.
LCM(61/483, 55/560, 583/256) = 177815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/483,55/560,583/256
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 61,55,583
Least Common Multiple of Numerators i.e. LCM of 61,55,583 is 177815.
GCF of Denominators means GCF of 483,560,256 as per the given fractions.
GCF of 483,560,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,55,583
11 | 61, 55, 583 |
61, 5, 53 |
∴ So the LCM of the given numbers is 11 x 61 x 5 x 53 = 177815
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 61,55,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,55,583) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(61,55,583) x common factors =1 x 11 = 11
LCM(61,55,583) = ( 61 × 55 × 583 ) / 11
LCM(61,55,583) = 1955965 / 11
LCM(61,55,583) = 177815
Lets's calculate GCF of 483,560,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177815/1
Therefore the LCM of Fractions 61/483,55/560,583/256 is 177815
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 483,560,256 . The biggest common factor number is the GCF number.
So the greatest common factor 483,560,256 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 61/483, 55/560, 583/256?
Answer: LCM of Numerators as per given numbers 61/483, 55/560, 583/256 is
LCM of Numerators i.e. for 61,55,583 is 177815
GCF of denominators i.e. for 483,560,256 is 1.
Thus, LCM of Fractions is 177815.Finally, LCM of Fractions for 61/483, 55/560, 583/256 is 177815.