Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 899/412, 538/911, 173/845 quickly i.e. 83673526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 899/412, 538/911, 173/845 is 83673526.
LCM(899/412, 538/911, 173/845) = 83673526
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 899/412,538/911,173/845
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 899,538,173
Least Common Multiple of Numerators i.e. LCM of 899,538,173 is 83673526.
GCF of Denominators means GCF of 412,911,845 as per the given fractions.
GCF of 412,911,845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 899,538,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 83673526
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 899,538,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,538,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,538,173) x common factors =1 x 1 = 1
LCM(899,538,173) = ( 899 × 538 × 173 ) / 1
LCM(899,538,173) = 83673526 / 1
LCM(899,538,173) = 83673526
Lets's calculate GCF of 412,911,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83673526/1
Therefore the LCM of Fractions 899/412,538/911,173/845 is 83673526
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 412,911,845 . The biggest common factor number is the GCF number.
So the greatest common factor 412,911,845 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 899/412, 538/911, 173/845?
Answer: LCM of Numerators as per given numbers 899/412, 538/911, 173/845 is
LCM of Numerators i.e. for 899,538,173 is 83673526
GCF of denominators i.e. for 412,911,845 is 1.
Thus, LCM of Fractions is 83673526.Finally, LCM of Fractions for 899/412, 538/911, 173/845 is 83673526.