Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9634/673, 5151/749 quickly i.e. 49624734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9634/673, 5151/749 is 49624734.
LCM(9634/673, 5151/749) = 49624734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9634/673,5151/749
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 9634,5151
Least Common Multiple of Numerators i.e. LCM of 9634,5151 is 49624734.
GCF of Denominators means GCF of 673,749 as per the given fractions.
GCF of 673,749 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9634,5151
Given numbers has no common factors except 1. So, there LCM is their product i.e 49624734
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 9634,5151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9634,5151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9634,5151) x common factors =1 x 1 = 1
LCM(9634,5151) = ( 9634 × 5151 ) / 1
LCM(9634,5151) = 49624734 / 1
LCM(9634,5151) = 49624734
Lets's calculate GCF of 673,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49624734/1
Therefore the LCM of Fractions 9634/673,5151/749 is 49624734
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 673,749 . The biggest common factor number is the GCF number.
So the greatest common factor 673,749 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 9634/673, 5151/749?
Answer: LCM of Numerators as per given numbers 9634/673, 5151/749 is
LCM of Numerators i.e. for 9634,5151 is 49624734
GCF of denominators i.e. for 673,749 is 1.
Thus, LCM of Fractions is 49624734.Finally, LCM of Fractions for 9634/673, 5151/749 is 49624734.