Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9850/464, 3037/733 quickly i.e. 29914450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9850/464, 3037/733 is 29914450.
LCM(9850/464, 3037/733) = 29914450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9850/464,3037/733
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 9850,3037
Least Common Multiple of Numerators i.e. LCM of 9850,3037 is 29914450.
GCF of Denominators means GCF of 464,733 as per the given fractions.
GCF of 464,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9850,3037
Given numbers has no common factors except 1. So, there LCM is their product i.e 29914450
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 9850,3037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9850,3037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9850,3037) x common factors =1 x 1 = 1
LCM(9850,3037) = ( 9850 × 3037 ) / 1
LCM(9850,3037) = 29914450 / 1
LCM(9850,3037) = 29914450
Lets's calculate GCF of 464,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29914450/1
Therefore the LCM of Fractions 9850/464,3037/733 is 29914450
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 464,733 . The biggest common factor number is the GCF number.
So the greatest common factor 464,733 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 9850/464, 3037/733?
Answer: LCM of Numerators as per given numbers 9850/464, 3037/733 is
LCM of Numerators i.e. for 9850,3037 is 29914450
GCF of denominators i.e. for 464,733 is 1.
Thus, LCM of Fractions is 29914450.Finally, LCM of Fractions for 9850/464, 3037/733 is 29914450.