Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8142/777, 3784/201 quickly i.e. 5134888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8142/777, 3784/201 is 5134888.
LCM(8142/777, 3784/201) = 5134888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8142/777,3784/201
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 8142,3784
Least Common Multiple of Numerators i.e. LCM of 8142,3784 is 15404664.
GCF of Denominators means GCF of 777,201 as per the given fractions.
GCF of 777,201 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8142,3784
2 | 8142, 3784 |
4071, 1892 |
∴ So the LCM of the given numbers is 2 x 4071 x 1892 = 15404664
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 8142,3784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8142,3784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8142,3784) x common factors =2 x 1 = 2
LCM(8142,3784) = ( 8142 × 3784 ) / 2
LCM(8142,3784) = 30809328 / 2
LCM(8142,3784) = 15404664
Lets's calculate GCF of 777,201
3 | 777, 201 |
259, 67 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15404664/3
Therefore the LCM of Fractions 8142/777,3784/201 is 5134888
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 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 777,201 . The biggest common factor number is the GCF number.
So the greatest common factor 777,201 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 8142/777, 3784/201?
Answer: LCM of Numerators as per given numbers 8142/777, 3784/201 is
LCM of Numerators i.e. for 8142,3784 is 15404664
GCF of denominators i.e. for 777,201 is 3.
Thus, LCM of Fractions is 5134888.Finally, LCM of Fractions for 8142/777, 3784/201 is 5134888.