Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/811, 882/897, 378/443 quickly i.e. 7938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/811, 882/897, 378/443 is 7938.
LCM(81/811, 882/897, 378/443) = 7938
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/811,882/897,378/443
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 81,882,378
Least Common Multiple of Numerators i.e. LCM of 81,882,378 is 7938.
GCF of Denominators means GCF of 811,897,443 as per the given fractions.
GCF of 811,897,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,882,378
2 | 81, 882, 378 |
3 | 81, 441, 189 |
3 | 27, 147, 63 |
3 | 9, 49, 21 |
7 | 3, 49, 7 |
3, 1, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 3 x 1 x 7 = 7938
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 81,882,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,882,378) = 9
common factors(in case of two or more numbers have common factors) = 378
GCF(81,882,378) x common factors =9 x 378 = 3402
LCM(81,882,378) = ( 81 × 882 × 378 ) / 3402
LCM(81,882,378) = 27005076 / 3402
LCM(81,882,378) = 7938
Lets's calculate GCF of 811,897,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7938/1
Therefore the LCM of Fractions 81/811,882/897,378/443 is 7938
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 811,897,443 . The biggest common factor number is the GCF number.
So the greatest common factor 811,897,443 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 81/811, 882/897, 378/443?
Answer: LCM of Numerators as per given numbers 81/811, 882/897, 378/443 is
LCM of Numerators i.e. for 81,882,378 is 7938
GCF of denominators i.e. for 811,897,443 is 1.
Thus, LCM of Fractions is 7938.Finally, LCM of Fractions for 81/811, 882/897, 378/443 is 7938.