Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/805, 244/889, 558/823 quickly i.e. 3199572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/805, 244/889, 558/823 is 3199572.
LCM(47/805, 244/889, 558/823) = 3199572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/805,244/889,558/823
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 47,244,558
Least Common Multiple of Numerators i.e. LCM of 47,244,558 is 3199572.
GCF of Denominators means GCF of 805,889,823 as per the given fractions.
GCF of 805,889,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,244,558
2 | 47, 244, 558 |
47, 122, 279 |
∴ So the LCM of the given numbers is 2 x 47 x 122 x 279 = 3199572
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 47,244,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,244,558) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,244,558) x common factors =1 x 2 = 2
LCM(47,244,558) = ( 47 × 244 × 558 ) / 2
LCM(47,244,558) = 6399144 / 2
LCM(47,244,558) = 3199572
Lets's calculate GCF of 805,889,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3199572/1
Therefore the LCM of Fractions 47/805,244/889,558/823 is 3199572
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Greatest Common Factor
We found the factors 805,889,823 . The biggest common factor number is the GCF number.
So the greatest common factor 805,889,823 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 47/805, 244/889, 558/823?
Answer: LCM of Numerators as per given numbers 47/805, 244/889, 558/823 is
LCM of Numerators i.e. for 47,244,558 is 3199572
GCF of denominators i.e. for 805,889,823 is 1.
Thus, LCM of Fractions is 3199572.Finally, LCM of Fractions for 47/805, 244/889, 558/823 is 3199572.