Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6585/121, 7864/386 quickly i.e. 51784440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6585/121, 7864/386 is 51784440.
LCM(6585/121, 7864/386) = 51784440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6585/121,7864/386
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 6585,7864
Least Common Multiple of Numerators i.e. LCM of 6585,7864 is 51784440.
GCF of Denominators means GCF of 121,386 as per the given fractions.
GCF of 121,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6585,7864
Given numbers has no common factors except 1. So, there LCM is their product i.e 51784440
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 6585,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6585,7864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6585,7864) x common factors =1 x 1 = 1
LCM(6585,7864) = ( 6585 × 7864 ) / 1
LCM(6585,7864) = 51784440 / 1
LCM(6585,7864) = 51784440
Lets's calculate GCF of 121,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51784440/1
Therefore the LCM of Fractions 6585/121,7864/386 is 51784440
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 121,386 . The biggest common factor number is the GCF number.
So the greatest common factor 121,386 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 6585/121, 7864/386?
Answer: LCM of Numerators as per given numbers 6585/121, 7864/386 is
LCM of Numerators i.e. for 6585,7864 is 51784440
GCF of denominators i.e. for 121,386 is 1.
Thus, LCM of Fractions is 51784440.Finally, LCM of Fractions for 6585/121, 7864/386 is 51784440.