Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 506/471, 153/245, 524/858 quickly i.e. 20283516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 506/471, 153/245, 524/858 is 20283516.
LCM(506/471, 153/245, 524/858) = 20283516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 506/471,153/245,524/858
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 506,153,524
Least Common Multiple of Numerators i.e. LCM of 506,153,524 is 20283516.
GCF of Denominators means GCF of 471,245,858 as per the given fractions.
GCF of 471,245,858 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 506,153,524
2 | 506, 153, 524 |
253, 153, 262 |
∴ So the LCM of the given numbers is 2 x 253 x 153 x 262 = 20283516
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 506,153,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,153,524) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(506,153,524) x common factors =1 x 2 = 2
LCM(506,153,524) = ( 506 × 153 × 524 ) / 2
LCM(506,153,524) = 40567032 / 2
LCM(506,153,524) = 20283516
Lets's calculate GCF of 471,245,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20283516/1
Therefore the LCM of Fractions 506/471,153/245,524/858 is 20283516
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 471,245,858 . The biggest common factor number is the GCF number.
So the greatest common factor 471,245,858 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 506/471, 153/245, 524/858?
Answer: LCM of Numerators as per given numbers 506/471, 153/245, 524/858 is
LCM of Numerators i.e. for 506,153,524 is 20283516
GCF of denominators i.e. for 471,245,858 is 1.
Thus, LCM of Fractions is 20283516.Finally, LCM of Fractions for 506/471, 153/245, 524/858 is 20283516.