Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/39, 77/319, 19/836 quickly i.e. 1463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/39, 77/319, 19/836 is 1463.
LCM(1/39, 77/319, 19/836) = 1463
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/39,77/319,19/836
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 1,77,19
Least Common Multiple of Numerators i.e. LCM of 1,77,19 is 1463.
GCF of Denominators means GCF of 39,319,836 as per the given fractions.
GCF of 39,319,836 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,77,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 1463
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 1,77,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,77,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,77,19) x common factors =1 x 1 = 1
LCM(1,77,19) = ( 1 × 77 × 19 ) / 1
LCM(1,77,19) = 1463 / 1
LCM(1,77,19) = 1463
Lets's calculate GCF of 39,319,836
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1463/1
Therefore the LCM of Fractions 1/39,77/319,19/836 is 1463
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Greatest Common Factor
We found the factors 39,319,836 . The biggest common factor number is the GCF number.
So the greatest common factor 39,319,836 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 1/39, 77/319, 19/836?
Answer: LCM of Numerators as per given numbers 1/39, 77/319, 19/836 is
LCM of Numerators i.e. for 1,77,19 is 1463
GCF of denominators i.e. for 39,319,836 is 1.
Thus, LCM of Fractions is 1463.Finally, LCM of Fractions for 1/39, 77/319, 19/836 is 1463.