Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1487/371, 4300/7446 quickly i.e. 6394100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1487/371, 4300/7446 is 6394100.
LCM(1487/371, 4300/7446) = 6394100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1487/371,4300/7446
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 1487,4300
Least Common Multiple of Numerators i.e. LCM of 1487,4300 is 6394100.
GCF of Denominators means GCF of 371,7446 as per the given fractions.
GCF of 371,7446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1487,4300
Given numbers has no common factors except 1. So, there LCM is their product i.e 6394100
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 1487,4300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1487,4300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1487,4300) x common factors =1 x 1 = 1
LCM(1487,4300) = ( 1487 × 4300 ) / 1
LCM(1487,4300) = 6394100 / 1
LCM(1487,4300) = 6394100
Lets's calculate GCF of 371,7446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6394100/1
Therefore the LCM of Fractions 1487/371,4300/7446 is 6394100
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 7446
List of positive integer factors of 7446 that divides 7446 without a remainder.
1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Greatest Common Factor
We found the factors 371,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 371,7446 is 1.
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 1487/371, 4300/7446?
Answer: LCM of Numerators as per given numbers 1487/371, 4300/7446 is
LCM of Numerators i.e. for 1487,4300 is 6394100
GCF of denominators i.e. for 371,7446 is 1.
Thus, LCM of Fractions is 6394100.Finally, LCM of Fractions for 1487/371, 4300/7446 is 6394100.