Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1487/720, 2965/2952 quickly i.e. 4408955/72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1487/720, 2965/2952 is 4408955/72.
LCM(1487/720, 2965/2952) = 4408955/72
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1487/720,2965/2952
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 1487,2965
Least Common Multiple of Numerators i.e. LCM of 1487,2965 is 4408955.
GCF of Denominators means GCF of 720,2952 as per the given fractions.
GCF of 720,2952 is 72 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1487,2965
Given numbers has no common factors except 1. So, there LCM is their product i.e 4408955
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 1487,2965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1487,2965) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1487,2965) x common factors =1 x 1 = 1
LCM(1487,2965) = ( 1487 × 2965 ) / 1
LCM(1487,2965) = 4408955 / 1
LCM(1487,2965) = 4408955
Lets's calculate GCF of 720,2952
2 | 720, 2952 |
2 | 360, 1476 |
2 | 180, 738 |
3 | 90, 369 |
3 | 30, 123 |
10, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4408955/72
Therefore the LCM of Fractions 1487/720,2965/2952 is 4408955/72
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 2952
List of positive integer factors of 2952 that divides 2952 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Greatest Common Factor
We found the factors 720,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 720,2952 is 72.
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 1487/720, 2965/2952?
Answer: LCM of Numerators as per given numbers 1487/720, 2965/2952 is
LCM of Numerators i.e. for 1487,2965 is 4408955
GCF of denominators i.e. for 720,2952 is 72.
Thus, LCM of Fractions is 4408955/72.Finally, LCM of Fractions for 1487/720, 2965/2952 is 4408955/72.