Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 774/804, 3426/6541 quickly i.e. 441954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 774/804, 3426/6541 is 441954.
LCM(774/804, 3426/6541) = 441954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 774/804,3426/6541
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 774,3426
Least Common Multiple of Numerators i.e. LCM of 774,3426 is 441954.
GCF of Denominators means GCF of 804,6541 as per the given fractions.
GCF of 804,6541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 774,3426
2 | 774, 3426 |
3 | 387, 1713 |
129, 571 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 571 = 441954
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 774,3426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,3426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(774,3426) x common factors =6 x 1 = 6
LCM(774,3426) = ( 774 × 3426 ) / 6
LCM(774,3426) = 2651724 / 6
LCM(774,3426) = 441954
Lets's calculate GCF of 804,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441954/1
Therefore the LCM of Fractions 774/804,3426/6541 is 441954
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1,31,211,6541
Greatest Common Factor
We found the factors 804,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 804,6541 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 774/804, 3426/6541?
Answer: LCM of Numerators as per given numbers 774/804, 3426/6541 is
LCM of Numerators i.e. for 774,3426 is 441954
GCF of denominators i.e. for 804,6541 is 1.
Thus, LCM of Fractions is 441954.Finally, LCM of Fractions for 774/804, 3426/6541 is 441954.