Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1468/900, 5617/9392 quickly i.e. 2061439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1468/900, 5617/9392 is 2061439.
LCM(1468/900, 5617/9392) = 2061439
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1468/900,5617/9392
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 1468,5617
Least Common Multiple of Numerators i.e. LCM of 1468,5617 is 8245756.
GCF of Denominators means GCF of 900,9392 as per the given fractions.
GCF of 900,9392 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1468,5617
Given numbers has no common factors except 1. So, there LCM is their product i.e 8245756
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 1468,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1468,5617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1468,5617) x common factors =1 x 1 = 1
LCM(1468,5617) = ( 1468 × 5617 ) / 1
LCM(1468,5617) = 8245756 / 1
LCM(1468,5617) = 8245756
Lets's calculate GCF of 900,9392
2 | 900, 9392 |
2 | 450, 4696 |
225, 2348 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8245756/4
Therefore the LCM of Fractions 1468/900,5617/9392 is 2061439
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 9392
List of positive integer factors of 9392 that divides 9392 without a remainder.
1,2,4,8,16,587,1174,2348,4696,9392
Greatest Common Factor
We found the factors 900,9392 . The biggest common factor number is the GCF number.
So the greatest common factor 900,9392 is 4.
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 1468/900, 5617/9392?
Answer: LCM of Numerators as per given numbers 1468/900, 5617/9392 is
LCM of Numerators i.e. for 1468,5617 is 8245756
GCF of denominators i.e. for 900,9392 is 4.
Thus, LCM of Fractions is 2061439.Finally, LCM of Fractions for 1468/900, 5617/9392 is 2061439.