Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 412/787, 973/787 quickly i.e. 400876/787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 412/787, 973/787 is 400876/787.
LCM(412/787, 973/787) = 400876/787
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 412/787,973/787
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 412,973
Least Common Multiple of Numerators i.e. LCM of 412,973 is 400876.
GCF of Denominators means GCF of 787,787 as per the given fractions.
GCF of 787,787 is 787 as it is the largest common factor for these numbers.
Lets's calculate LCM of 412,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 400876
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 412,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,973) x common factors =1 x 1 = 1
LCM(412,973) = ( 412 × 973 ) / 1
LCM(412,973) = 400876 / 1
LCM(412,973) = 400876
Lets's calculate GCF of 787,787
787 | 787, 787 |
1, 1 |
∴ So the GCF of the given numbers is 787 = 787
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400876/787
Therefore the LCM of Fractions 412/787,973/787 is 400876/787
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 787,787 . The biggest common factor number is the GCF number.
So the greatest common factor 787,787 is 787.
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 412/787, 973/787?
Answer: LCM of Numerators as per given numbers 412/787, 973/787 is
LCM of Numerators i.e. for 412,973 is 400876
GCF of denominators i.e. for 787,787 is 787.
Thus, LCM of Fractions is 400876/787.Finally, LCM of Fractions for 412/787, 973/787 is 400876/787.