Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/450, 9931/7493 quickly i.e. 834204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/450, 9931/7493 is 834204.
LCM(84/450, 9931/7493) = 834204
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/450,9931/7493
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 84,9931
Least Common Multiple of Numerators i.e. LCM of 84,9931 is 834204.
GCF of Denominators means GCF of 450,7493 as per the given fractions.
GCF of 450,7493 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,9931
Given numbers has no common factors except 1. So, there LCM is their product i.e 834204
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 84,9931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,9931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,9931) x common factors =1 x 1 = 1
LCM(84,9931) = ( 84 × 9931 ) / 1
LCM(84,9931) = 834204 / 1
LCM(84,9931) = 834204
Lets's calculate GCF of 450,7493
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 834204/1
Therefore the LCM of Fractions 84/450,9931/7493 is 834204
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
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1,59,127,7493
Greatest Common Factor
We found the factors 450,7493 . The biggest common factor number is the GCF number.
So the greatest common factor 450,7493 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 84/450, 9931/7493?
Answer: LCM of Numerators as per given numbers 84/450, 9931/7493 is
LCM of Numerators i.e. for 84,9931 is 834204
GCF of denominators i.e. for 450,7493 is 1.
Thus, LCM of Fractions is 834204.Finally, LCM of Fractions for 84/450, 9931/7493 is 834204.