Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/27, 855/71, 444/805 quickly i.e. 4428900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/27, 855/71, 444/805 is 4428900.
LCM(525/27, 855/71, 444/805) = 4428900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/27,855/71,444/805
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 525,855,444
Least Common Multiple of Numerators i.e. LCM of 525,855,444 is 4428900.
GCF of Denominators means GCF of 27,71,805 as per the given fractions.
GCF of 27,71,805 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,855,444
3 | 525, 855, 444 |
5 | 175, 285, 148 |
35, 57, 148 |
∴ So the LCM of the given numbers is 3 x 5 x 35 x 57 x 148 = 4428900
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 525,855,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,855,444) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(525,855,444) x common factors =3 x 15 = 45
LCM(525,855,444) = ( 525 × 855 × 444 ) / 45
LCM(525,855,444) = 199300500 / 45
LCM(525,855,444) = 4428900
Lets's calculate GCF of 27,71,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4428900/1
Therefore the LCM of Fractions 525/27,855/71,444/805 is 4428900
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 27,71,805 . The biggest common factor number is the GCF number.
So the greatest common factor 27,71,805 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 525/27, 855/71, 444/805?
Answer: LCM of Numerators as per given numbers 525/27, 855/71, 444/805 is
LCM of Numerators i.e. for 525,855,444 is 4428900
GCF of denominators i.e. for 27,71,805 is 1.
Thus, LCM of Fractions is 4428900.Finally, LCM of Fractions for 525/27, 855/71, 444/805 is 4428900.