Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4634/991, 4149/4602 quickly i.e. 19226466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4634/991, 4149/4602 is 19226466.
LCM(4634/991, 4149/4602) = 19226466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4634/991,4149/4602
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 4634,4149
Least Common Multiple of Numerators i.e. LCM of 4634,4149 is 19226466.
GCF of Denominators means GCF of 991,4602 as per the given fractions.
GCF of 991,4602 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4634,4149
Given numbers has no common factors except 1. So, there LCM is their product i.e 19226466
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 4634,4149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4634,4149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4634,4149) x common factors =1 x 1 = 1
LCM(4634,4149) = ( 4634 × 4149 ) / 1
LCM(4634,4149) = 19226466 / 1
LCM(4634,4149) = 19226466
Lets's calculate GCF of 991,4602
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19226466/1
Therefore the LCM of Fractions 4634/991,4149/4602 is 19226466
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 991,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 991,4602 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 4634/991, 4149/4602?
Answer: LCM of Numerators as per given numbers 4634/991, 4149/4602 is
LCM of Numerators i.e. for 4634,4149 is 19226466
GCF of denominators i.e. for 991,4602 is 1.
Thus, LCM of Fractions is 19226466.Finally, LCM of Fractions for 4634/991, 4149/4602 is 19226466.