Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/577, 504/936, 771/825 quickly i.e. 1424808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/577, 504/936, 771/825 is 1424808.
LCM(44/577, 504/936, 771/825) = 1424808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/577,504/936,771/825
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 44,504,771
Least Common Multiple of Numerators i.e. LCM of 44,504,771 is 1424808.
GCF of Denominators means GCF of 577,936,825 as per the given fractions.
GCF of 577,936,825 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,504,771
2 | 44, 504, 771 |
2 | 22, 252, 771 |
3 | 11, 126, 771 |
11, 42, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 42 x 257 = 1424808
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 44,504,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,504,771) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(44,504,771) x common factors =1 x 12 = 12
LCM(44,504,771) = ( 44 × 504 × 771 ) / 12
LCM(44,504,771) = 17097696 / 12
LCM(44,504,771) = 1424808
Lets's calculate GCF of 577,936,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1424808/1
Therefore the LCM of Fractions 44/577,504/936,771/825 is 1424808
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 577,936,825 . The biggest common factor number is the GCF number.
So the greatest common factor 577,936,825 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 44/577, 504/936, 771/825?
Answer: LCM of Numerators as per given numbers 44/577, 504/936, 771/825 is
LCM of Numerators i.e. for 44,504,771 is 1424808
GCF of denominators i.e. for 577,936,825 is 1.
Thus, LCM of Fractions is 1424808.Finally, LCM of Fractions for 44/577, 504/936, 771/825 is 1424808.