Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/87, 44/58, 52/52, 18/478 quickly i.e. 458172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/87, 44/58, 52/52, 18/478 is 458172.
LCM(89/87, 44/58, 52/52, 18/478) = 458172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/87,44/58,52/52,18/478
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 89,44,52,18
Least Common Multiple of Numerators i.e. LCM of 89,44,52,18 is 458172.
GCF of Denominators means GCF of 87,58,52,478 as per the given fractions.
GCF of 87,58,52,478 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,44,52,18
2 | 89, 44, 52, 18 |
2 | 89, 22, 26, 9 |
89, 11, 13, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 11 x 13 x 9 = 458172
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 89,44,52,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,44,52,18) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(89,44,52,18) x common factors =1 x 8 = 8
LCM(89,44,52,18) = ( 89 × 44 × 52 × 18 ) / 8
LCM(89,44,52,18) = 3665376 / 8
LCM(89,44,52,18) = 458172
Lets's calculate GCF of 87,58,52,478
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458172/1
Therefore the LCM of Fractions 89/87,44/58,52/52,18/478 is 458172
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 87,58,52,478 . The biggest common factor number is the GCF number.
So the greatest common factor 87,58,52,478 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 89/87, 44/58, 52/52, 18/478?
Answer: LCM of Numerators as per given numbers 89/87, 44/58, 52/52, 18/478 is
LCM of Numerators i.e. for 89,44,52,18 is 458172
GCF of denominators i.e. for 87,58,52,478 is 1.
Thus, LCM of Fractions is 458172.Finally, LCM of Fractions for 89/87, 44/58, 52/52, 18/478 is 458172.