Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8451/39, 7164/462 quickly i.e. 2242332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8451/39, 7164/462 is 2242332.
LCM(8451/39, 7164/462) = 2242332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8451/39,7164/462
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 8451,7164
Least Common Multiple of Numerators i.e. LCM of 8451,7164 is 6726996.
GCF of Denominators means GCF of 39,462 as per the given fractions.
GCF of 39,462 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8451,7164
3 | 8451, 7164 |
3 | 2817, 2388 |
939, 796 |
∴ So the LCM of the given numbers is 3 x 3 x 939 x 796 = 6726996
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 8451,7164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8451,7164) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(8451,7164) x common factors =9 x 1 = 9
LCM(8451,7164) = ( 8451 × 7164 ) / 9
LCM(8451,7164) = 60542964 / 9
LCM(8451,7164) = 6726996
Lets's calculate GCF of 39,462
3 | 39, 462 |
13, 154 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6726996/3
Therefore the LCM of Fractions 8451/39,7164/462 is 2242332
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 39,462 . The biggest common factor number is the GCF number.
So the greatest common factor 39,462 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 8451/39, 7164/462?
Answer: LCM of Numerators as per given numbers 8451/39, 7164/462 is
LCM of Numerators i.e. for 8451,7164 is 6726996
GCF of denominators i.e. for 39,462 is 3.
Thus, LCM of Fractions is 2242332.Finally, LCM of Fractions for 8451/39, 7164/462 is 2242332.