Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/984, 242/879, 693/241 quickly i.e. 15246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/984, 242/879, 693/241 is 15246.
LCM(99/984, 242/879, 693/241) = 15246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/984,242/879,693/241
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 99,242,693
Least Common Multiple of Numerators i.e. LCM of 99,242,693 is 15246.
GCF of Denominators means GCF of 984,879,241 as per the given fractions.
GCF of 984,879,241 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,242,693
3 | 99, 242, 693 |
3 | 33, 242, 231 |
11 | 11, 242, 77 |
1, 22, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 22 x 7 = 15246
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 99,242,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,242,693) = 11
common factors(in case of two or more numbers have common factors) = 99
GCF(99,242,693) x common factors =11 x 99 = 1089
LCM(99,242,693) = ( 99 × 242 × 693 ) / 1089
LCM(99,242,693) = 16602894 / 1089
LCM(99,242,693) = 15246
Lets's calculate GCF of 984,879,241
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15246/1
Therefore the LCM of Fractions 99/984,242/879,693/241 is 15246
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Greatest Common Factor
We found the factors 984,879,241 . The biggest common factor number is the GCF number.
So the greatest common factor 984,879,241 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 99/984, 242/879, 693/241?
Answer: LCM of Numerators as per given numbers 99/984, 242/879, 693/241 is
LCM of Numerators i.e. for 99,242,693 is 15246
GCF of denominators i.e. for 984,879,241 is 1.
Thus, LCM of Fractions is 15246.Finally, LCM of Fractions for 99/984, 242/879, 693/241 is 15246.