Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/81, 6979/444 quickly i.e. 3677933/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/81, 6979/444 is 3677933/3.
LCM(527/81, 6979/444) = 3677933/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/81,6979/444
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 527,6979
Least Common Multiple of Numerators i.e. LCM of 527,6979 is 3677933.
GCF of Denominators means GCF of 81,444 as per the given fractions.
GCF of 81,444 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,6979
Given numbers has no common factors except 1. So, there LCM is their product i.e 3677933
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 527,6979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,6979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,6979) x common factors =1 x 1 = 1
LCM(527,6979) = ( 527 × 6979 ) / 1
LCM(527,6979) = 3677933 / 1
LCM(527,6979) = 3677933
Lets's calculate GCF of 81,444
3 | 81, 444 |
27, 148 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3677933/3
Therefore the LCM of Fractions 527/81,6979/444 is 3677933/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 81,444 . The biggest common factor number is the GCF number.
So the greatest common factor 81,444 is 3.
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 527/81, 6979/444?
Answer: LCM of Numerators as per given numbers 527/81, 6979/444 is
LCM of Numerators i.e. for 527,6979 is 3677933
GCF of denominators i.e. for 81,444 is 3.
Thus, LCM of Fractions is 3677933/3.Finally, LCM of Fractions for 527/81, 6979/444 is 3677933/3.