Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 291/15, 283/1610 quickly i.e. 82353/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 291/15, 283/1610 is 82353/5.
LCM(291/15, 283/1610) = 82353/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 291/15,283/1610
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 291,283
Least Common Multiple of Numerators i.e. LCM of 291,283 is 82353.
GCF of Denominators means GCF of 15,1610 as per the given fractions.
GCF of 15,1610 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 291,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 82353
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 291,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,283) x common factors =1 x 1 = 1
LCM(291,283) = ( 291 × 283 ) / 1
LCM(291,283) = 82353 / 1
LCM(291,283) = 82353
Lets's calculate GCF of 15,1610
5 | 15, 1610 |
3, 322 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82353/5
Therefore the LCM of Fractions 291/15,283/1610 is 82353/5
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 1610
List of positive integer factors of 1610 that divides 1610 without a remainder.
1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Greatest Common Factor
We found the factors 15,1610 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1610 is 5.
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 291/15, 283/1610?
Answer: LCM of Numerators as per given numbers 291/15, 283/1610 is
LCM of Numerators i.e. for 291,283 is 82353
GCF of denominators i.e. for 15,1610 is 5.
Thus, LCM of Fractions is 82353/5.Finally, LCM of Fractions for 291/15, 283/1610 is 82353/5.