Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4529/464, 8988/9454 quickly i.e. 5815236/58 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4529/464, 8988/9454 is 5815236/58.
LCM(4529/464, 8988/9454) = 5815236/58
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4529/464,8988/9454
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 4529,8988
Least Common Multiple of Numerators i.e. LCM of 4529,8988 is 5815236.
GCF of Denominators means GCF of 464,9454 as per the given fractions.
GCF of 464,9454 is 58 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4529,8988
7 | 4529, 8988 |
647, 1284 |
∴ So the LCM of the given numbers is 7 x 647 x 1284 = 5815236
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 4529,8988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4529,8988) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(4529,8988) x common factors =7 x 1 = 7
LCM(4529,8988) = ( 4529 × 8988 ) / 7
LCM(4529,8988) = 40706652 / 7
LCM(4529,8988) = 5815236
Lets's calculate GCF of 464,9454
2 | 464, 9454 |
29 | 232, 4727 |
8, 163 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5815236/58
Therefore the LCM of Fractions 4529/464,8988/9454 is 5815236/58
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 9454
List of positive integer factors of 9454 that divides 9454 without a remainder.
1,2,29,58,163,326,4727,9454
Greatest Common Factor
We found the factors 464,9454 . The biggest common factor number is the GCF number.
So the greatest common factor 464,9454 is 58.
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 4529/464, 8988/9454?
Answer: LCM of Numerators as per given numbers 4529/464, 8988/9454 is
LCM of Numerators i.e. for 4529,8988 is 5815236
GCF of denominators i.e. for 464,9454 is 58.
Thus, LCM of Fractions is 5815236/58.Finally, LCM of Fractions for 4529/464, 8988/9454 is 5815236/58.