Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3482/345, 8993/450 quickly i.e. 31313626/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3482/345, 8993/450 is 31313626/15.
LCM(3482/345, 8993/450) = 31313626/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3482/345,8993/450
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 3482,8993
Least Common Multiple of Numerators i.e. LCM of 3482,8993 is 31313626.
GCF of Denominators means GCF of 345,450 as per the given fractions.
GCF of 345,450 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3482,8993
Given numbers has no common factors except 1. So, there LCM is their product i.e 31313626
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 3482,8993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3482,8993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3482,8993) x common factors =1 x 1 = 1
LCM(3482,8993) = ( 3482 × 8993 ) / 1
LCM(3482,8993) = 31313626 / 1
LCM(3482,8993) = 31313626
Lets's calculate GCF of 345,450
3 | 345, 450 |
5 | 115, 150 |
23, 30 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31313626/15
Therefore the LCM of Fractions 3482/345,8993/450 is 31313626/15
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 345,450 . The biggest common factor number is the GCF number.
So the greatest common factor 345,450 is 15.
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 3482/345, 8993/450?
Answer: LCM of Numerators as per given numbers 3482/345, 8993/450 is
LCM of Numerators i.e. for 3482,8993 is 31313626
GCF of denominators i.e. for 345,450 is 15.
Thus, LCM of Fractions is 31313626/15.Finally, LCM of Fractions for 3482/345, 8993/450 is 31313626/15.