Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/771, 446/22, 237/823 quickly i.e. 3488166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/771, 446/22, 237/823 is 3488166.
LCM(99/771, 446/22, 237/823) = 3488166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/771,446/22,237/823
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 99,446,237
Least Common Multiple of Numerators i.e. LCM of 99,446,237 is 3488166.
GCF of Denominators means GCF of 771,22,823 as per the given fractions.
GCF of 771,22,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,446,237
3 | 99, 446, 237 |
33, 446, 79 |
∴ So the LCM of the given numbers is 3 x 33 x 446 x 79 = 3488166
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 99,446,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,446,237) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,446,237) x common factors =1 x 3 = 3
LCM(99,446,237) = ( 99 × 446 × 237 ) / 3
LCM(99,446,237) = 10464498 / 3
LCM(99,446,237) = 3488166
Lets's calculate GCF of 771,22,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3488166/1
Therefore the LCM of Fractions 99/771,446/22,237/823 is 3488166
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 771,22,823 . The biggest common factor number is the GCF number.
So the greatest common factor 771,22,823 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 99/771, 446/22, 237/823?
Answer: LCM of Numerators as per given numbers 99/771, 446/22, 237/823 is
LCM of Numerators i.e. for 99,446,237 is 3488166
GCF of denominators i.e. for 771,22,823 is 1.
Thus, LCM of Fractions is 3488166.Finally, LCM of Fractions for 99/771, 446/22, 237/823 is 3488166.