Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/48, 887/47, 575/905 quickly i.e. 18360900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/48, 887/47, 575/905 is 18360900.
LCM(36/48, 887/47, 575/905) = 18360900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/48,887/47,575/905
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 36,887,575
Least Common Multiple of Numerators i.e. LCM of 36,887,575 is 18360900.
GCF of Denominators means GCF of 48,47,905 as per the given fractions.
GCF of 48,47,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,887,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 18360900
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 36,887,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,887,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,887,575) x common factors =1 x 1 = 1
LCM(36,887,575) = ( 36 × 887 × 575 ) / 1
LCM(36,887,575) = 18360900 / 1
LCM(36,887,575) = 18360900
Lets's calculate GCF of 48,47,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18360900/1
Therefore the LCM of Fractions 36/48,887/47,575/905 is 18360900
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 48,47,905 . The biggest common factor number is the GCF number.
So the greatest common factor 48,47,905 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 36/48, 887/47, 575/905?
Answer: LCM of Numerators as per given numbers 36/48, 887/47, 575/905 is
LCM of Numerators i.e. for 36,887,575 is 18360900
GCF of denominators i.e. for 48,47,905 is 1.
Thus, LCM of Fractions is 18360900.Finally, LCM of Fractions for 36/48, 887/47, 575/905 is 18360900.