Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/535, 9041/2905 quickly i.e. 162738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/535, 9041/2905 is 162738.
LCM(90/535, 9041/2905) = 162738
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/535,9041/2905
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 90,9041
Least Common Multiple of Numerators i.e. LCM of 90,9041 is 813690.
GCF of Denominators means GCF of 535,2905 as per the given fractions.
GCF of 535,2905 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,9041
Given numbers has no common factors except 1. So, there LCM is their product i.e 813690
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 90,9041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,9041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,9041) x common factors =1 x 1 = 1
LCM(90,9041) = ( 90 × 9041 ) / 1
LCM(90,9041) = 813690 / 1
LCM(90,9041) = 813690
Lets's calculate GCF of 535,2905
5 | 535, 2905 |
107, 581 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 813690/5
Therefore the LCM of Fractions 90/535,9041/2905 is 162738
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 2905
List of positive integer factors of 2905 that divides 2905 without a remainder.
1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 535,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 535,2905 is 5.
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 90/535, 9041/2905?
Answer: LCM of Numerators as per given numbers 90/535, 9041/2905 is
LCM of Numerators i.e. for 90,9041 is 813690
GCF of denominators i.e. for 535,2905 is 5.
Thus, LCM of Fractions is 162738.Finally, LCM of Fractions for 90/535, 9041/2905 is 162738.