Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/22, 605/66, 525/838 quickly i.e. 190575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/22, 605/66, 525/838 is 190575.
LCM(90/22, 605/66, 525/838) = 190575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/22,605/66,525/838
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 90,605,525
Least Common Multiple of Numerators i.e. LCM of 90,605,525 is 381150.
GCF of Denominators means GCF of 22,66,838 as per the given fractions.
GCF of 22,66,838 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,605,525
3 | 90, 605, 525 |
5 | 30, 605, 175 |
6, 121, 35 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 121 x 35 = 381150
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 90,605,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,605,525) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(90,605,525) x common factors =5 x 15 = 75
LCM(90,605,525) = ( 90 × 605 × 525 ) / 75
LCM(90,605,525) = 28586250 / 75
LCM(90,605,525) = 381150
Lets's calculate GCF of 22,66,838
2 | 22, 66, 838 |
11, 33, 419 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381150/2
Therefore the LCM of Fractions 90/22,605/66,525/838 is 190575
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 22,66,838 . The biggest common factor number is the GCF number.
So the greatest common factor 22,66,838 is 2.
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 90/22, 605/66, 525/838?
Answer: LCM of Numerators as per given numbers 90/22, 605/66, 525/838 is
LCM of Numerators i.e. for 90,605,525 is 381150
GCF of denominators i.e. for 22,66,838 is 2.
Thus, LCM of Fractions is 190575.Finally, LCM of Fractions for 90/22, 605/66, 525/838 is 190575.