Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 604/39, 804/6825 quickly i.e. 121404/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 604/39, 804/6825 is 121404/39.
LCM(604/39, 804/6825) = 121404/39
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 604/39,804/6825
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 604,804
Least Common Multiple of Numerators i.e. LCM of 604,804 is 121404.
GCF of Denominators means GCF of 39,6825 as per the given fractions.
GCF of 39,6825 is 39 as it is the largest common factor for these numbers.
Lets's calculate LCM of 604,804
2 | 604, 804 |
2 | 302, 402 |
151, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 201 = 121404
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 604,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,804) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,804) x common factors =4 x 1 = 4
LCM(604,804) = ( 604 × 804 ) / 4
LCM(604,804) = 485616 / 4
LCM(604,804) = 121404
Lets's calculate GCF of 39,6825
3 | 39, 6825 |
13 | 13, 2275 |
1, 175 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121404/39
Therefore the LCM of Fractions 604/39,804/6825 is 121404/39
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 6825
List of positive integer factors of 6825 that divides 6825 without a remainder.
1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825
Greatest Common Factor
We found the factors 39,6825 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6825 is 39.
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 604/39, 804/6825?
Answer: LCM of Numerators as per given numbers 604/39, 804/6825 is
LCM of Numerators i.e. for 604,804 is 121404
GCF of denominators i.e. for 39,6825 is 39.
Thus, LCM of Fractions is 121404/39.Finally, LCM of Fractions for 604/39, 804/6825 is 121404/39.