Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/825, 52/928, 570/783 quickly i.e. 14820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/825, 52/928, 570/783 is 14820.
LCM(95/825, 52/928, 570/783) = 14820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/825,52/928,570/783
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 95,52,570
Least Common Multiple of Numerators i.e. LCM of 95,52,570 is 14820.
GCF of Denominators means GCF of 825,928,783 as per the given fractions.
GCF of 825,928,783 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,52,570
2 | 95, 52, 570 |
5 | 95, 26, 285 |
19 | 19, 26, 57 |
1, 26, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 26 x 3 = 14820
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 95,52,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,52,570) = 1
common factors(in case of two or more numbers have common factors) = 190
GCF(95,52,570) x common factors =1 x 190 = 190
LCM(95,52,570) = ( 95 × 52 × 570 ) / 190
LCM(95,52,570) = 2815800 / 190
LCM(95,52,570) = 14820
Lets's calculate GCF of 825,928,783
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14820/1
Therefore the LCM of Fractions 95/825,52/928,570/783 is 14820
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Greatest Common Factor
We found the factors 825,928,783 . The biggest common factor number is the GCF number.
So the greatest common factor 825,928,783 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 95/825, 52/928, 570/783?
Answer: LCM of Numerators as per given numbers 95/825, 52/928, 570/783 is
LCM of Numerators i.e. for 95,52,570 is 14820
GCF of denominators i.e. for 825,928,783 is 1.
Thus, LCM of Fractions is 14820.Finally, LCM of Fractions for 95/825, 52/928, 570/783 is 14820.