Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 466/652, 5625/596 quickly i.e. 2621250/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 466/652, 5625/596 is 2621250/4.
LCM(466/652, 5625/596) = 2621250/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 466/652,5625/596
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 466,5625
Least Common Multiple of Numerators i.e. LCM of 466,5625 is 2621250.
GCF of Denominators means GCF of 652,596 as per the given fractions.
GCF of 652,596 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 466,5625
Given numbers has no common factors except 1. So, there LCM is their product i.e 2621250
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 466,5625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,5625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,5625) x common factors =1 x 1 = 1
LCM(466,5625) = ( 466 × 5625 ) / 1
LCM(466,5625) = 2621250 / 1
LCM(466,5625) = 2621250
Lets's calculate GCF of 652,596
2 | 652, 596 |
2 | 326, 298 |
163, 149 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2621250/4
Therefore the LCM of Fractions 466/652,5625/596 is 2621250/4
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 652,596 . The biggest common factor number is the GCF number.
So the greatest common factor 652,596 is 4.
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 466/652, 5625/596?
Answer: LCM of Numerators as per given numbers 466/652, 5625/596 is
LCM of Numerators i.e. for 466,5625 is 2621250
GCF of denominators i.e. for 652,596 is 4.
Thus, LCM of Fractions is 2621250/4.Finally, LCM of Fractions for 466/652, 5625/596 is 2621250/4.