Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/666, 913/27, 563/887 quickly i.e. 4112152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/666, 913/27, 563/887 is 4112152.
LCM(88/666, 913/27, 563/887) = 4112152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/666,913/27,563/887
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 88,913,563
Least Common Multiple of Numerators i.e. LCM of 88,913,563 is 4112152.
GCF of Denominators means GCF of 666,27,887 as per the given fractions.
GCF of 666,27,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,913,563
11 | 88, 913, 563 |
8, 83, 563 |
∴ So the LCM of the given numbers is 11 x 8 x 83 x 563 = 4112152
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 88,913,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,913,563) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(88,913,563) x common factors =1 x 11 = 11
LCM(88,913,563) = ( 88 × 913 × 563 ) / 11
LCM(88,913,563) = 45233672 / 11
LCM(88,913,563) = 4112152
Lets's calculate GCF of 666,27,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4112152/1
Therefore the LCM of Fractions 88/666,913/27,563/887 is 4112152
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 666,27,887 . The biggest common factor number is the GCF number.
So the greatest common factor 666,27,887 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 88/666, 913/27, 563/887?
Answer: LCM of Numerators as per given numbers 88/666, 913/27, 563/887 is
LCM of Numerators i.e. for 88,913,563 is 4112152
GCF of denominators i.e. for 666,27,887 is 1.
Thus, LCM of Fractions is 4112152.Finally, LCM of Fractions for 88/666, 913/27, 563/887 is 4112152.