Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 887/63, 4986/456 quickly i.e. 1474194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 887/63, 4986/456 is 1474194.
LCM(887/63, 4986/456) = 1474194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 887/63,4986/456
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 887,4986
Least Common Multiple of Numerators i.e. LCM of 887,4986 is 4422582.
GCF of Denominators means GCF of 63,456 as per the given fractions.
GCF of 63,456 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 887,4986
Given numbers has no common factors except 1. So, there LCM is their product i.e 4422582
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 887,4986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,4986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,4986) x common factors =1 x 1 = 1
LCM(887,4986) = ( 887 × 4986 ) / 1
LCM(887,4986) = 4422582 / 1
LCM(887,4986) = 4422582
Lets's calculate GCF of 63,456
3 | 63, 456 |
21, 152 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4422582/3
Therefore the LCM of Fractions 887/63,4986/456 is 1474194
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 63,456 . The biggest common factor number is the GCF number.
So the greatest common factor 63,456 is 3.
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 887/63, 4986/456?
Answer: LCM of Numerators as per given numbers 887/63, 4986/456 is
LCM of Numerators i.e. for 887,4986 is 4422582
GCF of denominators i.e. for 63,456 is 3.
Thus, LCM of Fractions is 1474194.Finally, LCM of Fractions for 887/63, 4986/456 is 1474194.