Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/47, 400/36, 575/844 quickly i.e. 27600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/47, 400/36, 575/844 is 27600.
LCM(48/47, 400/36, 575/844) = 27600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/47,400/36,575/844
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 48,400,575
Least Common Multiple of Numerators i.e. LCM of 48,400,575 is 27600.
GCF of Denominators means GCF of 47,36,844 as per the given fractions.
GCF of 47,36,844 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,400,575
2 | 48, 400, 575 |
2 | 24, 200, 575 |
2 | 12, 100, 575 |
2 | 6, 50, 575 |
5 | 3, 25, 575 |
5 | 3, 5, 115 |
3, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 3 x 1 x 23 = 27600
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 48,400,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,400,575) = 1
common factors(in case of two or more numbers have common factors) = 400
GCF(48,400,575) x common factors =1 x 400 = 400
LCM(48,400,575) = ( 48 × 400 × 575 ) / 400
LCM(48,400,575) = 11040000 / 400
LCM(48,400,575) = 27600
Lets's calculate GCF of 47,36,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27600/1
Therefore the LCM of Fractions 48/47,400/36,575/844 is 27600
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Greatest Common Factor
We found the factors 47,36,844 . The biggest common factor number is the GCF number.
So the greatest common factor 47,36,844 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 48/47, 400/36, 575/844?
Answer: LCM of Numerators as per given numbers 48/47, 400/36, 575/844 is
LCM of Numerators i.e. for 48,400,575 is 27600
GCF of denominators i.e. for 47,36,844 is 1.
Thus, LCM of Fractions is 27600.Finally, LCM of Fractions for 48/47, 400/36, 575/844 is 27600.