Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/62, 82/87, 855/414 quickly i.e. 630990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/62, 82/87, 855/414 is 630990.
LCM(81/62, 82/87, 855/414) = 630990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/62,82/87,855/414
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 81,82,855
Least Common Multiple of Numerators i.e. LCM of 81,82,855 is 630990.
GCF of Denominators means GCF of 62,87,414 as per the given fractions.
GCF of 62,87,414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,82,855
3 | 81, 82, 855 |
3 | 27, 82, 285 |
9, 82, 95 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 82 x 95 = 630990
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 81,82,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,82,855) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(81,82,855) x common factors =1 x 9 = 9
LCM(81,82,855) = ( 81 × 82 × 855 ) / 9
LCM(81,82,855) = 5678910 / 9
LCM(81,82,855) = 630990
Lets's calculate GCF of 62,87,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630990/1
Therefore the LCM of Fractions 81/62,82/87,855/414 is 630990
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 62,87,414 . The biggest common factor number is the GCF number.
So the greatest common factor 62,87,414 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 81/62, 82/87, 855/414?
Answer: LCM of Numerators as per given numbers 81/62, 82/87, 855/414 is
LCM of Numerators i.e. for 81,82,855 is 630990
GCF of denominators i.e. for 62,87,414 is 1.
Thus, LCM of Fractions is 630990.Finally, LCM of Fractions for 81/62, 82/87, 855/414 is 630990.