Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/44, 78/47, 888/82 quickly i.e. 11544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/44, 78/47, 888/82 is 11544.
LCM(52/44, 78/47, 888/82) = 11544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/44,78/47,888/82
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 52,78,888
Least Common Multiple of Numerators i.e. LCM of 52,78,888 is 11544.
GCF of Denominators means GCF of 44,47,82 as per the given fractions.
GCF of 44,47,82 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,78,888
2 | 52, 78, 888 |
2 | 26, 39, 444 |
3 | 13, 39, 222 |
13 | 13, 13, 74 |
1, 1, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 1 x 74 = 11544
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 52,78,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,78,888) = 2
common factors(in case of two or more numbers have common factors) = 156
GCF(52,78,888) x common factors =2 x 156 = 312
LCM(52,78,888) = ( 52 × 78 × 888 ) / 312
LCM(52,78,888) = 3601728 / 312
LCM(52,78,888) = 11544
Lets's calculate GCF of 44,47,82
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11544/1
Therefore the LCM of Fractions 52/44,78/47,888/82 is 11544
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Greatest Common Factor
We found the factors 44,47,82 . The biggest common factor number is the GCF number.
So the greatest common factor 44,47,82 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 52/44, 78/47, 888/82?
Answer: LCM of Numerators as per given numbers 52/44, 78/47, 888/82 is
LCM of Numerators i.e. for 52,78,888 is 11544
GCF of denominators i.e. for 44,47,82 is 1.
Thus, LCM of Fractions is 11544.Finally, LCM of Fractions for 52/44, 78/47, 888/82 is 11544.