Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 669/66, 325/19, 839/136 quickly i.e. 182419575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 669/66, 325/19, 839/136 is 182419575.
LCM(669/66, 325/19, 839/136) = 182419575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 669/66,325/19,839/136
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 669,325,839
Least Common Multiple of Numerators i.e. LCM of 669,325,839 is 182419575.
GCF of Denominators means GCF of 66,19,136 as per the given fractions.
GCF of 66,19,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 669,325,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 182419575
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 669,325,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,325,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,325,839) x common factors =1 x 1 = 1
LCM(669,325,839) = ( 669 × 325 × 839 ) / 1
LCM(669,325,839) = 182419575 / 1
LCM(669,325,839) = 182419575
Lets's calculate GCF of 66,19,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182419575/1
Therefore the LCM of Fractions 669/66,325/19,839/136 is 182419575
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 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 66,19,136 . The biggest common factor number is the GCF number.
So the greatest common factor 66,19,136 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 669/66, 325/19, 839/136?
Answer: LCM of Numerators as per given numbers 669/66, 325/19, 839/136 is
LCM of Numerators i.e. for 669,325,839 is 182419575
GCF of denominators i.e. for 66,19,136 is 1.
Thus, LCM of Fractions is 182419575.Finally, LCM of Fractions for 669/66, 325/19, 839/136 is 182419575.