Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/932, 563/124, 887/452 quickly i.e. 5493191 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/932, 563/124, 887/452 is 5493191.
LCM(44/932, 563/124, 887/452) = 5493191
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/932,563/124,887/452
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 44,563,887
Least Common Multiple of Numerators i.e. LCM of 44,563,887 is 21972764.
GCF of Denominators means GCF of 932,124,452 as per the given fractions.
GCF of 932,124,452 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,563,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 21972764
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 44,563,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,563,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,563,887) x common factors =1 x 1 = 1
LCM(44,563,887) = ( 44 × 563 × 887 ) / 1
LCM(44,563,887) = 21972764 / 1
LCM(44,563,887) = 21972764
Lets's calculate GCF of 932,124,452
2 | 932, 124, 452 |
2 | 466, 62, 226 |
233, 31, 113 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21972764/4
Therefore the LCM of Fractions 44/932,563/124,887/452 is 5493191
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 932,124,452 . The biggest common factor number is the GCF number.
So the greatest common factor 932,124,452 is 4.
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 44/932, 563/124, 887/452?
Answer: LCM of Numerators as per given numbers 44/932, 563/124, 887/452 is
LCM of Numerators i.e. for 44,563,887 is 21972764
GCF of denominators i.e. for 932,124,452 is 4.
Thus, LCM of Fractions is 5493191.Finally, LCM of Fractions for 44/932, 563/124, 887/452 is 5493191.