Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 564/264, 5125/7504 quickly i.e. 2890500/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 564/264, 5125/7504 is 2890500/8.
LCM(564/264, 5125/7504) = 2890500/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 564/264,5125/7504
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 564,5125
Least Common Multiple of Numerators i.e. LCM of 564,5125 is 2890500.
GCF of Denominators means GCF of 264,7504 as per the given fractions.
GCF of 264,7504 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 564,5125
Given numbers has no common factors except 1. So, there LCM is their product i.e 2890500
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 564,5125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,5125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,5125) x common factors =1 x 1 = 1
LCM(564,5125) = ( 564 × 5125 ) / 1
LCM(564,5125) = 2890500 / 1
LCM(564,5125) = 2890500
Lets's calculate GCF of 264,7504
2 | 264, 7504 |
2 | 132, 3752 |
2 | 66, 1876 |
33, 938 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2890500/8
Therefore the LCM of Fractions 564/264,5125/7504 is 2890500/8
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 7504
List of positive integer factors of 7504 that divides 7504 without a remainder.
1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 264,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 264,7504 is 8.
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 564/264, 5125/7504?
Answer: LCM of Numerators as per given numbers 564/264, 5125/7504 is
LCM of Numerators i.e. for 564,5125 is 2890500
GCF of denominators i.e. for 264,7504 is 8.
Thus, LCM of Fractions is 2890500/8.Finally, LCM of Fractions for 564/264, 5125/7504 is 2890500/8.