Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6135/751, 4629/9418 quickly i.e. 9466305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6135/751, 4629/9418 is 9466305.
LCM(6135/751, 4629/9418) = 9466305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6135/751,4629/9418
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 6135,4629
Least Common Multiple of Numerators i.e. LCM of 6135,4629 is 9466305.
GCF of Denominators means GCF of 751,9418 as per the given fractions.
GCF of 751,9418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6135,4629
3 | 6135, 4629 |
2045, 1543 |
∴ So the LCM of the given numbers is 3 x 2045 x 1543 = 9466305
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 6135,4629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6135,4629) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6135,4629) x common factors =3 x 1 = 3
LCM(6135,4629) = ( 6135 × 4629 ) / 3
LCM(6135,4629) = 28398915 / 3
LCM(6135,4629) = 9466305
Lets's calculate GCF of 751,9418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9466305/1
Therefore the LCM of Fractions 6135/751,4629/9418 is 9466305
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 9418
List of positive integer factors of 9418 that divides 9418 without a remainder.
1,2,17,34,277,554,4709,9418
Greatest Common Factor
We found the factors 751,9418 . The biggest common factor number is the GCF number.
So the greatest common factor 751,9418 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 6135/751, 4629/9418?
Answer: LCM of Numerators as per given numbers 6135/751, 4629/9418 is
LCM of Numerators i.e. for 6135,4629 is 9466305
GCF of denominators i.e. for 751,9418 is 1.
Thus, LCM of Fractions is 9466305.Finally, LCM of Fractions for 6135/751, 4629/9418 is 9466305.