Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/574, 76/489, 17/110 quickly i.e. 3876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/574, 76/489, 17/110 is 3876.
LCM(3/574, 76/489, 17/110) = 3876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/574,76/489,17/110
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 3,76,17
Least Common Multiple of Numerators i.e. LCM of 3,76,17 is 3876.
GCF of Denominators means GCF of 574,489,110 as per the given fractions.
GCF of 574,489,110 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,76,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 3876
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 3,76,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,76,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,76,17) x common factors =1 x 1 = 1
LCM(3,76,17) = ( 3 × 76 × 17 ) / 1
LCM(3,76,17) = 3876 / 1
LCM(3,76,17) = 3876
Lets's calculate GCF of 574,489,110
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3876/1
Therefore the LCM of Fractions 3/574,76/489,17/110 is 3876
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 574,489,110 . The biggest common factor number is the GCF number.
So the greatest common factor 574,489,110 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 3/574, 76/489, 17/110?
Answer: LCM of Numerators as per given numbers 3/574, 76/489, 17/110 is
LCM of Numerators i.e. for 3,76,17 is 3876
GCF of denominators i.e. for 574,489,110 is 1.
Thus, LCM of Fractions is 3876.Finally, LCM of Fractions for 3/574, 76/489, 17/110 is 3876.