Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 667/441, 953/108, 201/810 quickly i.e. 127765851/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 667/441, 953/108, 201/810 is 127765851/9.
LCM(667/441, 953/108, 201/810) = 127765851/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 667/441,953/108,201/810
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 667,953,201
Least Common Multiple of Numerators i.e. LCM of 667,953,201 is 127765851.
GCF of Denominators means GCF of 441,108,810 as per the given fractions.
GCF of 441,108,810 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 667,953,201
Given numbers has no common factors except 1. So, there LCM is their product i.e 127765851
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 667,953,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,953,201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,953,201) x common factors =1 x 1 = 1
LCM(667,953,201) = ( 667 × 953 × 201 ) / 1
LCM(667,953,201) = 127765851 / 1
LCM(667,953,201) = 127765851
Lets's calculate GCF of 441,108,810
3 | 441, 108, 810 |
3 | 147, 36, 270 |
49, 12, 90 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127765851/9
Therefore the LCM of Fractions 667/441,953/108,201/810 is 127765851/9
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 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 441,108,810 . The biggest common factor number is the GCF number.
So the greatest common factor 441,108,810 is 9.
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 667/441, 953/108, 201/810?
Answer: LCM of Numerators as per given numbers 667/441, 953/108, 201/810 is
LCM of Numerators i.e. for 667,953,201 is 127765851
GCF of denominators i.e. for 441,108,810 is 9.
Thus, LCM of Fractions is 127765851/9.Finally, LCM of Fractions for 667/441, 953/108, 201/810 is 127765851/9.