Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 387/14, 640/2718 quickly i.e. 123840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 387/14, 640/2718 is 123840.
LCM(387/14, 640/2718) = 123840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 387/14,640/2718
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 387,640
Least Common Multiple of Numerators i.e. LCM of 387,640 is 247680.
GCF of Denominators means GCF of 14,2718 as per the given fractions.
GCF of 14,2718 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 387,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 247680
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 387,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,640) x common factors =1 x 1 = 1
LCM(387,640) = ( 387 × 640 ) / 1
LCM(387,640) = 247680 / 1
LCM(387,640) = 247680
Lets's calculate GCF of 14,2718
2 | 14, 2718 |
7, 1359 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247680/2
Therefore the LCM of Fractions 387/14,640/2718 is 123840
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 2718
List of positive integer factors of 2718 that divides 2718 without a remainder.
1,2,3,6,9,18,151,302,453,906,1359,2718
Greatest Common Factor
We found the factors 14,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 14,2718 is 2.
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 387/14, 640/2718?
Answer: LCM of Numerators as per given numbers 387/14, 640/2718 is
LCM of Numerators i.e. for 387,640 is 247680
GCF of denominators i.e. for 14,2718 is 2.
Thus, LCM of Fractions is 123840.Finally, LCM of Fractions for 387/14, 640/2718 is 123840.