Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/225, 5664/6026 quickly i.e. 39648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/225, 5664/6026 is 39648.
LCM(84/225, 5664/6026) = 39648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/225,5664/6026
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 84,5664
Least Common Multiple of Numerators i.e. LCM of 84,5664 is 39648.
GCF of Denominators means GCF of 225,6026 as per the given fractions.
GCF of 225,6026 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,5664
2 | 84, 5664 |
2 | 42, 2832 |
3 | 21, 1416 |
7, 472 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 472 = 39648
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 84,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,5664) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(84,5664) x common factors =12 x 1 = 12
LCM(84,5664) = ( 84 × 5664 ) / 12
LCM(84,5664) = 475776 / 12
LCM(84,5664) = 39648
Lets's calculate GCF of 225,6026
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39648/1
Therefore the LCM of Fractions 84/225,5664/6026 is 39648
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 6026
List of positive integer factors of 6026 that divides 6026 without a remainder.
1,2,23,46,131,262,3013,6026
Greatest Common Factor
We found the factors 225,6026 . The biggest common factor number is the GCF number.
So the greatest common factor 225,6026 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 84/225, 5664/6026?
Answer: LCM of Numerators as per given numbers 84/225, 5664/6026 is
LCM of Numerators i.e. for 84,5664 is 39648
GCF of denominators i.e. for 225,6026 is 1.
Thus, LCM of Fractions is 39648.Finally, LCM of Fractions for 84/225, 5664/6026 is 39648.