Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8726/22, 4179/730 quickly i.e. 18232977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8726/22, 4179/730 is 18232977.
LCM(8726/22, 4179/730) = 18232977
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8726/22,4179/730
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 8726,4179
Least Common Multiple of Numerators i.e. LCM of 8726,4179 is 36465954.
GCF of Denominators means GCF of 22,730 as per the given fractions.
GCF of 22,730 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8726,4179
Given numbers has no common factors except 1. So, there LCM is their product i.e 36465954
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 8726,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8726,4179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8726,4179) x common factors =1 x 1 = 1
LCM(8726,4179) = ( 8726 × 4179 ) / 1
LCM(8726,4179) = 36465954 / 1
LCM(8726,4179) = 36465954
Lets's calculate GCF of 22,730
2 | 22, 730 |
11, 365 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36465954/2
Therefore the LCM of Fractions 8726/22,4179/730 is 18232977
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 22,730 . The biggest common factor number is the GCF number.
So the greatest common factor 22,730 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 8726/22, 4179/730?
Answer: LCM of Numerators as per given numbers 8726/22, 4179/730 is
LCM of Numerators i.e. for 8726,4179 is 36465954
GCF of denominators i.e. for 22,730 is 2.
Thus, LCM of Fractions is 18232977.Finally, LCM of Fractions for 8726/22, 4179/730 is 18232977.