Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/88, 847/81, 812/822 quickly i.e. 3045812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/88, 847/81, 812/822 is 3045812.
LCM(31/88, 847/81, 812/822) = 3045812
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/88,847/81,812/822
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 31,847,812
Least Common Multiple of Numerators i.e. LCM of 31,847,812 is 3045812.
GCF of Denominators means GCF of 88,81,822 as per the given fractions.
GCF of 88,81,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,847,812
7 | 31, 847, 812 |
31, 121, 116 |
∴ So the LCM of the given numbers is 7 x 31 x 121 x 116 = 3045812
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 31,847,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,847,812) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(31,847,812) x common factors =1 x 7 = 7
LCM(31,847,812) = ( 31 × 847 × 812 ) / 7
LCM(31,847,812) = 21320684 / 7
LCM(31,847,812) = 3045812
Lets's calculate GCF of 88,81,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3045812/1
Therefore the LCM of Fractions 31/88,847/81,812/822 is 3045812
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 88,81,822 . The biggest common factor number is the GCF number.
So the greatest common factor 88,81,822 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 31/88, 847/81, 812/822?
Answer: LCM of Numerators as per given numbers 31/88, 847/81, 812/822 is
LCM of Numerators i.e. for 31,847,812 is 3045812
GCF of denominators i.e. for 88,81,822 is 1.
Thus, LCM of Fractions is 3045812.Finally, LCM of Fractions for 31/88, 847/81, 812/822 is 3045812.