Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/90, 625/69, 799/522 quickly i.e. 33458125/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/90, 625/69, 799/522 is 33458125/3.
LCM(67/90, 625/69, 799/522) = 33458125/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/90,625/69,799/522
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 67,625,799
Least Common Multiple of Numerators i.e. LCM of 67,625,799 is 33458125.
GCF of Denominators means GCF of 90,69,522 as per the given fractions.
GCF of 90,69,522 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,625,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 33458125
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 67,625,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,625,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,625,799) x common factors =1 x 1 = 1
LCM(67,625,799) = ( 67 × 625 × 799 ) / 1
LCM(67,625,799) = 33458125 / 1
LCM(67,625,799) = 33458125
Lets's calculate GCF of 90,69,522
3 | 90, 69, 522 |
30, 23, 174 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33458125/3
Therefore the LCM of Fractions 67/90,625/69,799/522 is 33458125/3
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Greatest Common Factor
We found the factors 90,69,522 . The biggest common factor number is the GCF number.
So the greatest common factor 90,69,522 is 3.
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 67/90, 625/69, 799/522?
Answer: LCM of Numerators as per given numbers 67/90, 625/69, 799/522 is
LCM of Numerators i.e. for 67,625,799 is 33458125
GCF of denominators i.e. for 90,69,522 is 3.
Thus, LCM of Fractions is 33458125/3.Finally, LCM of Fractions for 67/90, 625/69, 799/522 is 33458125/3.