Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/900, 875/522, 422/535 quickly i.e. 25478250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/900, 875/522, 422/535 is 25478250.
LCM(69/900, 875/522, 422/535) = 25478250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/900,875/522,422/535
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 69,875,422
Least Common Multiple of Numerators i.e. LCM of 69,875,422 is 25478250.
GCF of Denominators means GCF of 900,522,535 as per the given fractions.
GCF of 900,522,535 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,875,422
Given numbers has no common factors except 1. So, there LCM is their product i.e 25478250
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 69,875,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,875,422) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,875,422) x common factors =1 x 1 = 1
LCM(69,875,422) = ( 69 × 875 × 422 ) / 1
LCM(69,875,422) = 25478250 / 1
LCM(69,875,422) = 25478250
Lets's calculate GCF of 900,522,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25478250/1
Therefore the LCM of Fractions 69/900,875/522,422/535 is 25478250
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
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
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 900,522,535 . The biggest common factor number is the GCF number.
So the greatest common factor 900,522,535 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 69/900, 875/522, 422/535?
Answer: LCM of Numerators as per given numbers 69/900, 875/522, 422/535 is
LCM of Numerators i.e. for 69,875,422 is 25478250
GCF of denominators i.e. for 900,522,535 is 1.
Thus, LCM of Fractions is 25478250.Finally, LCM of Fractions for 69/900, 875/522, 422/535 is 25478250.