Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 596/92, 476/90, 887/886 quickly i.e. 31454794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 596/92, 476/90, 887/886 is 31454794.
LCM(596/92, 476/90, 887/886) = 31454794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 596/92,476/90,887/886
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 596,476,887
Least Common Multiple of Numerators i.e. LCM of 596,476,887 is 62909588.
GCF of Denominators means GCF of 92,90,886 as per the given fractions.
GCF of 92,90,886 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 596,476,887
2 | 596, 476, 887 |
2 | 298, 238, 887 |
149, 119, 887 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 119 x 887 = 62909588
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 596,476,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,476,887) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(596,476,887) x common factors =1 x 4 = 4
LCM(596,476,887) = ( 596 × 476 × 887 ) / 4
LCM(596,476,887) = 251638352 / 4
LCM(596,476,887) = 62909588
Lets's calculate GCF of 92,90,886
2 | 92, 90, 886 |
46, 45, 443 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62909588/2
Therefore the LCM of Fractions 596/92,476/90,887/886 is 31454794
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 92,90,886 . The biggest common factor number is the GCF number.
So the greatest common factor 92,90,886 is 2.
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 596/92, 476/90, 887/886?
Answer: LCM of Numerators as per given numbers 596/92, 476/90, 887/886 is
LCM of Numerators i.e. for 596,476,887 is 62909588
GCF of denominators i.e. for 92,90,886 is 2.
Thus, LCM of Fractions is 31454794.Finally, LCM of Fractions for 596/92, 476/90, 887/886 is 31454794.