Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/99, 58/45, 24/83, 52/102 quickly i.e. 63336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/99, 58/45, 24/83, 52/102 is 63336.
LCM(84/99, 58/45, 24/83, 52/102) = 63336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/99,58/45,24/83,52/102
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 84,58,24,52
Least Common Multiple of Numerators i.e. LCM of 84,58,24,52 is 63336.
GCF of Denominators means GCF of 99,45,83,102 as per the given fractions.
GCF of 99,45,83,102 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,58,24,52
2 | 84, 58, 24, 52 |
2 | 42, 29, 12, 26 |
3 | 21, 29, 6, 13 |
7, 29, 2, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 29 x 2 x 13 = 63336
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 84,58,24,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,58,24,52) = 2
common factors(in case of two or more numbers have common factors) = 48
GCF(84,58,24,52) x common factors =2 x 48 = 96
LCM(84,58,24,52) = ( 84 × 58 × 24 × 52 ) / 96
LCM(84,58,24,52) = 6080256 / 96
LCM(84,58,24,52) = 63336
Lets's calculate GCF of 99,45,83,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63336/1
Therefore the LCM of Fractions 84/99,58/45,24/83,52/102 is 63336
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 99,45,83,102 . The biggest common factor number is the GCF number.
So the greatest common factor 99,45,83,102 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 84/99, 58/45, 24/83, 52/102?
Answer: LCM of Numerators as per given numbers 84/99, 58/45, 24/83, 52/102 is
LCM of Numerators i.e. for 84,58,24,52 is 63336
GCF of denominators i.e. for 99,45,83,102 is 1.
Thus, LCM of Fractions is 63336.Finally, LCM of Fractions for 84/99, 58/45, 24/83, 52/102 is 63336.