Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/43, 88/32, 88/70, 12/886 quickly i.e. 13992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/43, 88/32, 88/70, 12/886 is 13992.
LCM(53/43, 88/32, 88/70, 12/886) = 13992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/43,88/32,88/70,12/886
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 53,88,88,12
Least Common Multiple of Numerators i.e. LCM of 53,88,88,12 is 13992.
GCF of Denominators means GCF of 43,32,70,886 as per the given fractions.
GCF of 43,32,70,886 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,88,88,12
2 | 53, 88, 88, 12 |
2 | 53, 44, 44, 6 |
2 | 53, 22, 22, 3 |
11 | 53, 11, 11, 3 |
53, 1, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 53 x 1 x 1 x 3 = 13992
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 53,88,88,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,88,88,12) = 1
common factors(in case of two or more numbers have common factors) = 352
GCF(53,88,88,12) x common factors =1 x 352 = 352
LCM(53,88,88,12) = ( 53 × 88 × 88 × 12 ) / 352
LCM(53,88,88,12) = 4925184 / 352
LCM(53,88,88,12) = 13992
Lets's calculate GCF of 43,32,70,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13992/1
Therefore the LCM of Fractions 53/43,88/32,88/70,12/886 is 13992
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
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 43,32,70,886 . The biggest common factor number is the GCF number.
So the greatest common factor 43,32,70,886 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 53/43, 88/32, 88/70, 12/886?
Answer: LCM of Numerators as per given numbers 53/43, 88/32, 88/70, 12/886 is
LCM of Numerators i.e. for 53,88,88,12 is 13992
GCF of denominators i.e. for 43,32,70,886 is 1.
Thus, LCM of Fractions is 13992.Finally, LCM of Fractions for 53/43, 88/32, 88/70, 12/886 is 13992.