Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/695, 525/483, 350/413 quickly i.e. 11550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/695, 525/483, 350/413 is 11550.
LCM(33/695, 525/483, 350/413) = 11550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/695,525/483,350/413
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 33,525,350
Least Common Multiple of Numerators i.e. LCM of 33,525,350 is 11550.
GCF of Denominators means GCF of 695,483,413 as per the given fractions.
GCF of 695,483,413 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,525,350
3 | 33, 525, 350 |
5 | 11, 175, 350 |
5 | 11, 35, 70 |
7 | 11, 7, 14 |
11, 1, 2 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 7 x 11 x 1 x 2 = 11550
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 33,525,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,525,350) = 1
common factors(in case of two or more numbers have common factors) = 525
GCF(33,525,350) x common factors =1 x 525 = 525
LCM(33,525,350) = ( 33 × 525 × 350 ) / 525
LCM(33,525,350) = 6063750 / 525
LCM(33,525,350) = 11550
Lets's calculate GCF of 695,483,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11550/1
Therefore the LCM of Fractions 33/695,525/483,350/413 is 11550
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 695,483,413 . The biggest common factor number is the GCF number.
So the greatest common factor 695,483,413 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 33/695, 525/483, 350/413?
Answer: LCM of Numerators as per given numbers 33/695, 525/483, 350/413 is
LCM of Numerators i.e. for 33,525,350 is 11550
GCF of denominators i.e. for 695,483,413 is 1.
Thus, LCM of Fractions is 11550.Finally, LCM of Fractions for 33/695, 525/483, 350/413 is 11550.