Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/82, 519/22, 927/478 quickly i.e. 28064925/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/82, 519/22, 927/478 is 28064925/2.
LCM(525/82, 519/22, 927/478) = 28064925/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/82,519/22,927/478
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 525,519,927
Least Common Multiple of Numerators i.e. LCM of 525,519,927 is 28064925.
GCF of Denominators means GCF of 82,22,478 as per the given fractions.
GCF of 82,22,478 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,519,927
3 | 525, 519, 927 |
175, 173, 309 |
∴ So the LCM of the given numbers is 3 x 175 x 173 x 309 = 28064925
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 525,519,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,519,927) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(525,519,927) x common factors =3 x 3 = 9
LCM(525,519,927) = ( 525 × 519 × 927 ) / 9
LCM(525,519,927) = 252584325 / 9
LCM(525,519,927) = 28064925
Lets's calculate GCF of 82,22,478
2 | 82, 22, 478 |
41, 11, 239 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28064925/2
Therefore the LCM of Fractions 525/82,519/22,927/478 is 28064925/2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
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 82,22,478 . The biggest common factor number is the GCF number.
So the greatest common factor 82,22,478 is 2.
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 525/82, 519/22, 927/478?
Answer: LCM of Numerators as per given numbers 525/82, 519/22, 927/478 is
LCM of Numerators i.e. for 525,519,927 is 28064925
GCF of denominators i.e. for 82,22,478 is 2.
Thus, LCM of Fractions is 28064925/2.Finally, LCM of Fractions for 525/82, 519/22, 927/478 is 28064925/2.