Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/504, 47/645, 103/585 quickly i.e. 459895/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/504, 47/645, 103/585 is 459895/3.
LCM(95/504, 47/645, 103/585) = 459895/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/504,47/645,103/585
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 95,47,103
Least Common Multiple of Numerators i.e. LCM of 95,47,103 is 459895.
GCF of Denominators means GCF of 504,645,585 as per the given fractions.
GCF of 504,645,585 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,47,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 459895
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 95,47,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,47,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,47,103) x common factors =1 x 1 = 1
LCM(95,47,103) = ( 95 × 47 × 103 ) / 1
LCM(95,47,103) = 459895 / 1
LCM(95,47,103) = 459895
Lets's calculate GCF of 504,645,585
3 | 504, 645, 585 |
168, 215, 195 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459895/3
Therefore the LCM of Fractions 95/504,47/645,103/585 is 459895/3
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 504,645,585 . The biggest common factor number is the GCF number.
So the greatest common factor 504,645,585 is 3.
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 95/504, 47/645, 103/585?
Answer: LCM of Numerators as per given numbers 95/504, 47/645, 103/585 is
LCM of Numerators i.e. for 95,47,103 is 459895
GCF of denominators i.e. for 504,645,585 is 3.
Thus, LCM of Fractions is 459895/3.Finally, LCM of Fractions for 95/504, 47/645, 103/585 is 459895/3.