Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/647, 6002/8714 quickly i.e. 258086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/647, 6002/8714 is 258086.
LCM(43/647, 6002/8714) = 258086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/647,6002/8714
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 43,6002
Least Common Multiple of Numerators i.e. LCM of 43,6002 is 258086.
GCF of Denominators means GCF of 647,8714 as per the given fractions.
GCF of 647,8714 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,6002
Given numbers has no common factors except 1. So, there LCM is their product i.e 258086
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 43,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,6002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,6002) x common factors =1 x 1 = 1
LCM(43,6002) = ( 43 × 6002 ) / 1
LCM(43,6002) = 258086 / 1
LCM(43,6002) = 258086
Lets's calculate GCF of 647,8714
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258086/1
Therefore the LCM of Fractions 43/647,6002/8714 is 258086
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 8714
List of positive integer factors of 8714 that divides 8714 without a remainder.
1,2,4357,8714
Greatest Common Factor
We found the factors 647,8714 . The biggest common factor number is the GCF number.
So the greatest common factor 647,8714 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 43/647, 6002/8714?
Answer: LCM of Numerators as per given numbers 43/647, 6002/8714 is
LCM of Numerators i.e. for 43,6002 is 258086
GCF of denominators i.e. for 647,8714 is 1.
Thus, LCM of Fractions is 258086.Finally, LCM of Fractions for 43/647, 6002/8714 is 258086.