Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/397, 4943/2840 quickly i.e. 385554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/397, 4943/2840 is 385554.
LCM(78/397, 4943/2840) = 385554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/397,4943/2840
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 78,4943
Least Common Multiple of Numerators i.e. LCM of 78,4943 is 385554.
GCF of Denominators means GCF of 397,2840 as per the given fractions.
GCF of 397,2840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,4943
Given numbers has no common factors except 1. So, there LCM is their product i.e 385554
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 78,4943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,4943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,4943) x common factors =1 x 1 = 1
LCM(78,4943) = ( 78 × 4943 ) / 1
LCM(78,4943) = 385554 / 1
LCM(78,4943) = 385554
Lets's calculate GCF of 397,2840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385554/1
Therefore the LCM of Fractions 78/397,4943/2840 is 385554
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 2840
List of positive integer factors of 2840 that divides 2840 without a remainder.
1,2,4,5,8,10,20,40,71,142,284,355,568,710,1420,2840
Greatest Common Factor
We found the factors 397,2840 . The biggest common factor number is the GCF number.
So the greatest common factor 397,2840 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 78/397, 4943/2840?
Answer: LCM of Numerators as per given numbers 78/397, 4943/2840 is
LCM of Numerators i.e. for 78,4943 is 385554
GCF of denominators i.e. for 397,2840 is 1.
Thus, LCM of Fractions is 385554.Finally, LCM of Fractions for 78/397, 4943/2840 is 385554.