Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/725, 21/443, 647/899 quickly i.e. 1290765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/725, 21/443, 647/899 is 1290765.
LCM(95/725, 21/443, 647/899) = 1290765
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/725,21/443,647/899
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 95,21,647
Least Common Multiple of Numerators i.e. LCM of 95,21,647 is 1290765.
GCF of Denominators means GCF of 725,443,899 as per the given fractions.
GCF of 725,443,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,21,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 1290765
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 95,21,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,21,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,21,647) x common factors =1 x 1 = 1
LCM(95,21,647) = ( 95 × 21 × 647 ) / 1
LCM(95,21,647) = 1290765 / 1
LCM(95,21,647) = 1290765
Lets's calculate GCF of 725,443,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1290765/1
Therefore the LCM of Fractions 95/725,21/443,647/899 is 1290765
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 725,443,899 . The biggest common factor number is the GCF number.
So the greatest common factor 725,443,899 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 95/725, 21/443, 647/899?
Answer: LCM of Numerators as per given numbers 95/725, 21/443, 647/899 is
LCM of Numerators i.e. for 95,21,647 is 1290765
GCF of denominators i.e. for 725,443,899 is 1.
Thus, LCM of Fractions is 1290765.Finally, LCM of Fractions for 95/725, 21/443, 647/899 is 1290765.