Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4995/376, 4841/6414 quickly i.e. 24180795/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4995/376, 4841/6414 is 24180795/2.
LCM(4995/376, 4841/6414) = 24180795/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4995/376,4841/6414
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 4995,4841
Least Common Multiple of Numerators i.e. LCM of 4995,4841 is 24180795.
GCF of Denominators means GCF of 376,6414 as per the given fractions.
GCF of 376,6414 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4995,4841
Given numbers has no common factors except 1. So, there LCM is their product i.e 24180795
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 4995,4841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4995,4841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4995,4841) x common factors =1 x 1 = 1
LCM(4995,4841) = ( 4995 × 4841 ) / 1
LCM(4995,4841) = 24180795 / 1
LCM(4995,4841) = 24180795
Lets's calculate GCF of 376,6414
2 | 376, 6414 |
188, 3207 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24180795/2
Therefore the LCM of Fractions 4995/376,4841/6414 is 24180795/2
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 6414
List of positive integer factors of 6414 that divides 6414 without a remainder.
1,2,3,6,1069,2138,3207,6414
Greatest Common Factor
We found the factors 376,6414 . The biggest common factor number is the GCF number.
So the greatest common factor 376,6414 is 2.
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 4995/376, 4841/6414?
Answer: LCM of Numerators as per given numbers 4995/376, 4841/6414 is
LCM of Numerators i.e. for 4995,4841 is 24180795
GCF of denominators i.e. for 376,6414 is 2.
Thus, LCM of Fractions is 24180795/2.Finally, LCM of Fractions for 4995/376, 4841/6414 is 24180795/2.