Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/892, 628/863, 886/565 quickly i.e. 4173060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/892, 628/863, 886/565 is 4173060.
LCM(15/892, 628/863, 886/565) = 4173060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/892,628/863,886/565
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 15,628,886
Least Common Multiple of Numerators i.e. LCM of 15,628,886 is 4173060.
GCF of Denominators means GCF of 892,863,565 as per the given fractions.
GCF of 892,863,565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,628,886
2 | 15, 628, 886 |
15, 314, 443 |
∴ So the LCM of the given numbers is 2 x 15 x 314 x 443 = 4173060
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 15,628,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,628,886) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(15,628,886) x common factors =1 x 2 = 2
LCM(15,628,886) = ( 15 × 628 × 886 ) / 2
LCM(15,628,886) = 8346120 / 2
LCM(15,628,886) = 4173060
Lets's calculate GCF of 892,863,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4173060/1
Therefore the LCM of Fractions 15/892,628/863,886/565 is 4173060
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 892,863,565 . The biggest common factor number is the GCF number.
So the greatest common factor 892,863,565 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 15/892, 628/863, 886/565?
Answer: LCM of Numerators as per given numbers 15/892, 628/863, 886/565 is
LCM of Numerators i.e. for 15,628,886 is 4173060
GCF of denominators i.e. for 892,863,565 is 1.
Thus, LCM of Fractions is 4173060.Finally, LCM of Fractions for 15/892, 628/863, 886/565 is 4173060.