Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/14, 61/15, 19/20 quickly i.e. 33611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/14, 61/15, 19/20 is 33611.
LCM(29/14, 61/15, 19/20) = 33611
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/14,61/15,19/20
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 29,61,19
Least Common Multiple of Numerators i.e. LCM of 29,61,19 is 33611.
GCF of Denominators means GCF of 14,15,20 as per the given fractions.
GCF of 14,15,20 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,61,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 33611
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 29,61,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,61,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,61,19) x common factors =1 x 1 = 1
LCM(29,61,19) = ( 29 × 61 × 19 ) / 1
LCM(29,61,19) = 33611 / 1
LCM(29,61,19) = 33611
Lets's calculate GCF of 14,15,20
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33611/1
Therefore the LCM of Fractions 29/14,61/15,19/20 is 33611
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 14,15,20 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,20 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 29/14, 61/15, 19/20?
Answer: LCM of Numerators as per given numbers 29/14, 61/15, 19/20 is
LCM of Numerators i.e. for 29,61,19 is 33611
GCF of denominators i.e. for 14,15,20 is 1.
Thus, LCM of Fractions is 33611.Finally, LCM of Fractions for 29/14, 61/15, 19/20 is 33611.