Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/24, 465/4173 quickly i.e. 101060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/24, 465/4173 is 101060.
LCM(652/24, 465/4173) = 101060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/24,465/4173
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 652,465
Least Common Multiple of Numerators i.e. LCM of 652,465 is 303180.
GCF of Denominators means GCF of 24,4173 as per the given fractions.
GCF of 24,4173 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 303180
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 652,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,465) x common factors =1 x 1 = 1
LCM(652,465) = ( 652 × 465 ) / 1
LCM(652,465) = 303180 / 1
LCM(652,465) = 303180
Lets's calculate GCF of 24,4173
3 | 24, 4173 |
8, 1391 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303180/3
Therefore the LCM of Fractions 652/24,465/4173 is 101060
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1,3,13,39,107,321,1391,4173
Greatest Common Factor
We found the factors 24,4173 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4173 is 3.
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 652/24, 465/4173?
Answer: LCM of Numerators as per given numbers 652/24, 465/4173 is
LCM of Numerators i.e. for 652,465 is 303180
GCF of denominators i.e. for 24,4173 is 3.
Thus, LCM of Fractions is 101060.Finally, LCM of Fractions for 652/24, 465/4173 is 101060.