Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7886/121, 5666/8524 quickly i.e. 22341038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7886/121, 5666/8524 is 22341038.
LCM(7886/121, 5666/8524) = 22341038
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7886/121,5666/8524
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 7886,5666
Least Common Multiple of Numerators i.e. LCM of 7886,5666 is 22341038.
GCF of Denominators means GCF of 121,8524 as per the given fractions.
GCF of 121,8524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7886,5666
2 | 7886, 5666 |
3943, 2833 |
∴ So the LCM of the given numbers is 2 x 3943 x 2833 = 22341038
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 7886,5666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7886,5666) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7886,5666) x common factors =2 x 1 = 2
LCM(7886,5666) = ( 7886 × 5666 ) / 2
LCM(7886,5666) = 44682076 / 2
LCM(7886,5666) = 22341038
Lets's calculate GCF of 121,8524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22341038/1
Therefore the LCM of Fractions 7886/121,5666/8524 is 22341038
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 8524
List of positive integer factors of 8524 that divides 8524 without a remainder.
1,2,4,2131,4262,8524
Greatest Common Factor
We found the factors 121,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 121,8524 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 7886/121, 5666/8524?
Answer: LCM of Numerators as per given numbers 7886/121, 5666/8524 is
LCM of Numerators i.e. for 7886,5666 is 22341038
GCF of denominators i.e. for 121,8524 is 1.
Thus, LCM of Fractions is 22341038.Finally, LCM of Fractions for 7886/121, 5666/8524 is 22341038.