Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/883, 44/519, 324/574 quickly i.e. 146124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/883, 44/519, 324/574 is 146124.
LCM(82/883, 44/519, 324/574) = 146124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/883,44/519,324/574
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 82,44,324
Least Common Multiple of Numerators i.e. LCM of 82,44,324 is 146124.
GCF of Denominators means GCF of 883,519,574 as per the given fractions.
GCF of 883,519,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,44,324
2 | 82, 44, 324 |
2 | 41, 22, 162 |
41, 11, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 11 x 81 = 146124
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 82,44,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,44,324) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(82,44,324) x common factors =2 x 4 = 8
LCM(82,44,324) = ( 82 × 44 × 324 ) / 8
LCM(82,44,324) = 1168992 / 8
LCM(82,44,324) = 146124
Lets's calculate GCF of 883,519,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146124/1
Therefore the LCM of Fractions 82/883,44/519,324/574 is 146124
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 883,519,574 . The biggest common factor number is the GCF number.
So the greatest common factor 883,519,574 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 82/883, 44/519, 324/574?
Answer: LCM of Numerators as per given numbers 82/883, 44/519, 324/574 is
LCM of Numerators i.e. for 82,44,324 is 146124
GCF of denominators i.e. for 883,519,574 is 1.
Thus, LCM of Fractions is 146124.Finally, LCM of Fractions for 82/883, 44/519, 324/574 is 146124.