Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/844, 566/88, 824/172 quickly i.e. 1457450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/844, 566/88, 824/172 is 1457450.
LCM(25/844, 566/88, 824/172) = 1457450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/844,566/88,824/172
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 25,566,824
Least Common Multiple of Numerators i.e. LCM of 25,566,824 is 5829800.
GCF of Denominators means GCF of 844,88,172 as per the given fractions.
GCF of 844,88,172 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,566,824
2 | 25, 566, 824 |
25, 283, 412 |
∴ So the LCM of the given numbers is 2 x 25 x 283 x 412 = 5829800
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 25,566,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,566,824) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(25,566,824) x common factors =1 x 2 = 2
LCM(25,566,824) = ( 25 × 566 × 824 ) / 2
LCM(25,566,824) = 11659600 / 2
LCM(25,566,824) = 5829800
Lets's calculate GCF of 844,88,172
2 | 844, 88, 172 |
2 | 422, 44, 86 |
211, 22, 43 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5829800/4
Therefore the LCM of Fractions 25/844,566/88,824/172 is 1457450
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
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 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 844,88,172 . The biggest common factor number is the GCF number.
So the greatest common factor 844,88,172 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 25/844, 566/88, 824/172?
Answer: LCM of Numerators as per given numbers 25/844, 566/88, 824/172 is
LCM of Numerators i.e. for 25,566,824 is 5829800
GCF of denominators i.e. for 844,88,172 is 4.
Thus, LCM of Fractions is 1457450.Finally, LCM of Fractions for 25/844, 566/88, 824/172 is 1457450.