Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7459/73, 3672/730 quickly i.e. 27389448/73 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7459/73, 3672/730 is 27389448/73.
LCM(7459/73, 3672/730) = 27389448/73
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7459/73,3672/730
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 7459,3672
Least Common Multiple of Numerators i.e. LCM of 7459,3672 is 27389448.
GCF of Denominators means GCF of 73,730 as per the given fractions.
GCF of 73,730 is 73 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7459,3672
Given numbers has no common factors except 1. So, there LCM is their product i.e 27389448
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 7459,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7459,3672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7459,3672) x common factors =1 x 1 = 1
LCM(7459,3672) = ( 7459 × 3672 ) / 1
LCM(7459,3672) = 27389448 / 1
LCM(7459,3672) = 27389448
Lets's calculate GCF of 73,730
73 | 73, 730 |
1, 10 |
∴ So the GCF of the given numbers is 73 = 73
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27389448/73
Therefore the LCM of Fractions 7459/73,3672/730 is 27389448/73
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 73,730 . The biggest common factor number is the GCF number.
So the greatest common factor 73,730 is 73.
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 7459/73, 3672/730?
Answer: LCM of Numerators as per given numbers 7459/73, 3672/730 is
LCM of Numerators i.e. for 7459,3672 is 27389448
GCF of denominators i.e. for 73,730 is 73.
Thus, LCM of Fractions is 27389448/73.Finally, LCM of Fractions for 7459/73, 3672/730 is 27389448/73.