Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6655/441, 1025/966 quickly i.e. 1364275/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6655/441, 1025/966 is 1364275/21.
LCM(6655/441, 1025/966) = 1364275/21
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6655/441,1025/966
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 6655,1025
Least Common Multiple of Numerators i.e. LCM of 6655,1025 is 1364275.
GCF of Denominators means GCF of 441,966 as per the given fractions.
GCF of 441,966 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6655,1025
5 | 6655, 1025 |
1331, 205 |
∴ So the LCM of the given numbers is 5 x 1331 x 205 = 1364275
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 6655,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6655,1025) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(6655,1025) x common factors =5 x 1 = 5
LCM(6655,1025) = ( 6655 × 1025 ) / 5
LCM(6655,1025) = 6821375 / 5
LCM(6655,1025) = 1364275
Lets's calculate GCF of 441,966
3 | 441, 966 |
7 | 147, 322 |
21, 46 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1364275/21
Therefore the LCM of Fractions 6655/441,1025/966 is 1364275/21
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 441,966 . The biggest common factor number is the GCF number.
So the greatest common factor 441,966 is 21.
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 6655/441, 1025/966?
Answer: LCM of Numerators as per given numbers 6655/441, 1025/966 is
LCM of Numerators i.e. for 6655,1025 is 1364275
GCF of denominators i.e. for 441,966 is 21.
Thus, LCM of Fractions is 1364275/21.Finally, LCM of Fractions for 6655/441, 1025/966 is 1364275/21.