Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/888, 53/124, 84/361 quickly i.e. 13356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/888, 53/124, 84/361 is 13356.
LCM(9/888, 53/124, 84/361) = 13356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/888,53/124,84/361
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 9,53,84
Least Common Multiple of Numerators i.e. LCM of 9,53,84 is 13356.
GCF of Denominators means GCF of 888,124,361 as per the given fractions.
GCF of 888,124,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,53,84
3 | 9, 53, 84 |
3, 53, 28 |
∴ So the LCM of the given numbers is 3 x 3 x 53 x 28 = 13356
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 9,53,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,53,84) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,53,84) x common factors =1 x 3 = 3
LCM(9,53,84) = ( 9 × 53 × 84 ) / 3
LCM(9,53,84) = 40068 / 3
LCM(9,53,84) = 13356
Lets's calculate GCF of 888,124,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13356/1
Therefore the LCM of Fractions 9/888,53/124,84/361 is 13356
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 888,124,361 . The biggest common factor number is the GCF number.
So the greatest common factor 888,124,361 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 9/888, 53/124, 84/361?
Answer: LCM of Numerators as per given numbers 9/888, 53/124, 84/361 is
LCM of Numerators i.e. for 9,53,84 is 13356
GCF of denominators i.e. for 888,124,361 is 1.
Thus, LCM of Fractions is 13356.Finally, LCM of Fractions for 9/888, 53/124, 84/361 is 13356.