Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/66, 1/33, 59/25, 19/331 quickly i.e. 1121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/66, 1/33, 59/25, 19/331 is 1121.
LCM(1/66, 1/33, 59/25, 19/331) = 1121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/66,1/33,59/25,19/331
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 1,1,59,19
Least Common Multiple of Numerators i.e. LCM of 1,1,59,19 is 1121.
GCF of Denominators means GCF of 66,33,25,331 as per the given fractions.
GCF of 66,33,25,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,1,59,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 1121
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 1,1,59,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,1,59,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,1,59,19) x common factors =1 x 1 = 1
LCM(1,1,59,19) = ( 1 × 1 × 59 × 19 ) / 1
LCM(1,1,59,19) = 1121 / 1
LCM(1,1,59,19) = 1121
Lets's calculate GCF of 66,33,25,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1121/1
Therefore the LCM of Fractions 1/66,1/33,59/25,19/331 is 1121
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Greatest Common Factor
We found the factors 66,33,25,331 . The biggest common factor number is the GCF number.
So the greatest common factor 66,33,25,331 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 1/66, 1/33, 59/25, 19/331?
Answer: LCM of Numerators as per given numbers 1/66, 1/33, 59/25, 19/331 is
LCM of Numerators i.e. for 1,1,59,19 is 1121
GCF of denominators i.e. for 66,33,25,331 is 1.
Thus, LCM of Fractions is 1121.Finally, LCM of Fractions for 1/66, 1/33, 59/25, 19/331 is 1121.