Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/88, 66/27, 32/14, 79/823 quickly i.e. 3587232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/88, 66/27, 32/14, 79/823 is 3587232.
LCM(43/88, 66/27, 32/14, 79/823) = 3587232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/88,66/27,32/14,79/823
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 43,66,32,79
Least Common Multiple of Numerators i.e. LCM of 43,66,32,79 is 3587232.
GCF of Denominators means GCF of 88,27,14,823 as per the given fractions.
GCF of 88,27,14,823 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,66,32,79
2 | 43, 66, 32, 79 |
43, 33, 16, 79 |
∴ So the LCM of the given numbers is 2 x 43 x 33 x 16 x 79 = 3587232
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 43,66,32,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,66,32,79) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,66,32,79) x common factors =1 x 2 = 2
LCM(43,66,32,79) = ( 43 × 66 × 32 × 79 ) / 2
LCM(43,66,32,79) = 7174464 / 2
LCM(43,66,32,79) = 3587232
Lets's calculate GCF of 88,27,14,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3587232/1
Therefore the LCM of Fractions 43/88,66/27,32/14,79/823 is 3587232
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
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 88,27,14,823 . The biggest common factor number is the GCF number.
So the greatest common factor 88,27,14,823 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 43/88, 66/27, 32/14, 79/823?
Answer: LCM of Numerators as per given numbers 43/88, 66/27, 32/14, 79/823 is
LCM of Numerators i.e. for 43,66,32,79 is 3587232
GCF of denominators i.e. for 88,27,14,823 is 1.
Thus, LCM of Fractions is 3587232.Finally, LCM of Fractions for 43/88, 66/27, 32/14, 79/823 is 3587232.