Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 619/66, 614/15, 202/12 quickly i.e. 38386666/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 619/66, 614/15, 202/12 is 38386666/3.
LCM(619/66, 614/15, 202/12) = 38386666/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 619/66,614/15,202/12
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 619,614,202
Least Common Multiple of Numerators i.e. LCM of 619,614,202 is 38386666.
GCF of Denominators means GCF of 66,15,12 as per the given fractions.
GCF of 66,15,12 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 619,614,202
2 | 619, 614, 202 |
619, 307, 101 |
∴ So the LCM of the given numbers is 2 x 619 x 307 x 101 = 38386666
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 619,614,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,614,202) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(619,614,202) x common factors =1 x 2 = 2
LCM(619,614,202) = ( 619 × 614 × 202 ) / 2
LCM(619,614,202) = 76773332 / 2
LCM(619,614,202) = 38386666
Lets's calculate GCF of 66,15,12
3 | 66, 15, 12 |
22, 5, 4 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38386666/3
Therefore the LCM of Fractions 619/66,614/15,202/12 is 38386666/3
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 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Greatest Common Factor
We found the factors 66,15,12 . The biggest common factor number is the GCF number.
So the greatest common factor 66,15,12 is 3.
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 619/66, 614/15, 202/12?
Answer: LCM of Numerators as per given numbers 619/66, 614/15, 202/12 is
LCM of Numerators i.e. for 619,614,202 is 38386666
GCF of denominators i.e. for 66,15,12 is 3.
Thus, LCM of Fractions is 38386666/3.Finally, LCM of Fractions for 619/66, 614/15, 202/12 is 38386666/3.