Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 138/777, 3399/815 quickly i.e. 156354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 138/777, 3399/815 is 156354.
LCM(138/777, 3399/815) = 156354
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 138/777,3399/815
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 138,3399
Least Common Multiple of Numerators i.e. LCM of 138,3399 is 156354.
GCF of Denominators means GCF of 777,815 as per the given fractions.
GCF of 777,815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 138,3399
3 | 138, 3399 |
46, 1133 |
∴ So the LCM of the given numbers is 3 x 46 x 1133 = 156354
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 138,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,3399) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,3399) x common factors =3 x 1 = 3
LCM(138,3399) = ( 138 × 3399 ) / 3
LCM(138,3399) = 469062 / 3
LCM(138,3399) = 156354
Lets's calculate GCF of 777,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156354/1
Therefore the LCM of Fractions 138/777,3399/815 is 156354
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 777,815 . The biggest common factor number is the GCF number.
So the greatest common factor 777,815 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 138/777, 3399/815?
Answer: LCM of Numerators as per given numbers 138/777, 3399/815 is
LCM of Numerators i.e. for 138,3399 is 156354
GCF of denominators i.e. for 777,815 is 1.
Thus, LCM of Fractions is 156354.Finally, LCM of Fractions for 138/777, 3399/815 is 156354.