Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/917, 573/448, 528/605 quickly i.e. 4739856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/917, 573/448, 528/605 is 4739856.
LCM(47/917, 573/448, 528/605) = 4739856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/917,573/448,528/605
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 47,573,528
Least Common Multiple of Numerators i.e. LCM of 47,573,528 is 4739856.
GCF of Denominators means GCF of 917,448,605 as per the given fractions.
GCF of 917,448,605 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,573,528
3 | 47, 573, 528 |
47, 191, 176 |
∴ So the LCM of the given numbers is 3 x 47 x 191 x 176 = 4739856
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 47,573,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,573,528) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(47,573,528) x common factors =1 x 3 = 3
LCM(47,573,528) = ( 47 × 573 × 528 ) / 3
LCM(47,573,528) = 14219568 / 3
LCM(47,573,528) = 4739856
Lets's calculate GCF of 917,448,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4739856/1
Therefore the LCM of Fractions 47/917,573/448,528/605 is 4739856
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 917,448,605 . The biggest common factor number is the GCF number.
So the greatest common factor 917,448,605 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 47/917, 573/448, 528/605?
Answer: LCM of Numerators as per given numbers 47/917, 573/448, 528/605 is
LCM of Numerators i.e. for 47,573,528 is 4739856
GCF of denominators i.e. for 917,448,605 is 1.
Thus, LCM of Fractions is 4739856.Finally, LCM of Fractions for 47/917, 573/448, 528/605 is 4739856.