Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5773/608, 4282/1615 quickly i.e. 24719986/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5773/608, 4282/1615 is 24719986/19.
LCM(5773/608, 4282/1615) = 24719986/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5773/608,4282/1615
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 5773,4282
Least Common Multiple of Numerators i.e. LCM of 5773,4282 is 24719986.
GCF of Denominators means GCF of 608,1615 as per the given fractions.
GCF of 608,1615 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5773,4282
Given numbers has no common factors except 1. So, there LCM is their product i.e 24719986
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 5773,4282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5773,4282) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5773,4282) x common factors =1 x 1 = 1
LCM(5773,4282) = ( 5773 × 4282 ) / 1
LCM(5773,4282) = 24719986 / 1
LCM(5773,4282) = 24719986
Lets's calculate GCF of 608,1615
19 | 608, 1615 |
32, 85 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24719986/19
Therefore the LCM of Fractions 5773/608,4282/1615 is 24719986/19
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 1615
List of positive integer factors of 1615 that divides 1615 without a remainder.
1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 608,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 608,1615 is 19.
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 5773/608, 4282/1615?
Answer: LCM of Numerators as per given numbers 5773/608, 4282/1615 is
LCM of Numerators i.e. for 5773,4282 is 24719986
GCF of denominators i.e. for 608,1615 is 19.
Thus, LCM of Fractions is 24719986/19.Finally, LCM of Fractions for 5773/608, 4282/1615 is 24719986/19.