Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 432/900, 3442/2073 quickly i.e. 247824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 432/900, 3442/2073 is 247824.
LCM(432/900, 3442/2073) = 247824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 432/900,3442/2073
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 432,3442
Least Common Multiple of Numerators i.e. LCM of 432,3442 is 743472.
GCF of Denominators means GCF of 900,2073 as per the given fractions.
GCF of 900,2073 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 432,3442
2 | 432, 3442 |
216, 1721 |
∴ So the LCM of the given numbers is 2 x 216 x 1721 = 743472
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 432,3442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,3442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,3442) x common factors =2 x 1 = 2
LCM(432,3442) = ( 432 × 3442 ) / 2
LCM(432,3442) = 1486944 / 2
LCM(432,3442) = 743472
Lets's calculate GCF of 900,2073
3 | 900, 2073 |
300, 691 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743472/3
Therefore the LCM of Fractions 432/900,3442/2073 is 247824
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 2073
List of positive integer factors of 2073 that divides 2073 without a remainder.
1,3,691,2073
Greatest Common Factor
We found the factors 900,2073 . The biggest common factor number is the GCF number.
So the greatest common factor 900,2073 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 432/900, 3442/2073?
Answer: LCM of Numerators as per given numbers 432/900, 3442/2073 is
LCM of Numerators i.e. for 432,3442 is 743472
GCF of denominators i.e. for 900,2073 is 3.
Thus, LCM of Fractions is 247824.Finally, LCM of Fractions for 432/900, 3442/2073 is 247824.