Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 763/326, 6111/1647 quickly i.e. 666099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 763/326, 6111/1647 is 666099.
LCM(763/326, 6111/1647) = 666099
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 763/326,6111/1647
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 763,6111
Least Common Multiple of Numerators i.e. LCM of 763,6111 is 666099.
GCF of Denominators means GCF of 326,1647 as per the given fractions.
GCF of 326,1647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 763,6111
7 | 763, 6111 |
109, 873 |
∴ So the LCM of the given numbers is 7 x 109 x 873 = 666099
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 763,6111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,6111) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(763,6111) x common factors =7 x 1 = 7
LCM(763,6111) = ( 763 × 6111 ) / 7
LCM(763,6111) = 4662693 / 7
LCM(763,6111) = 666099
Lets's calculate GCF of 326,1647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666099/1
Therefore the LCM of Fractions 763/326,6111/1647 is 666099
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 1647
List of positive integer factors of 1647 that divides 1647 without a remainder.
1,3,9,27,61,183,549,1647
Greatest Common Factor
We found the factors 326,1647 . The biggest common factor number is the GCF number.
So the greatest common factor 326,1647 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 763/326, 6111/1647?
Answer: LCM of Numerators as per given numbers 763/326, 6111/1647 is
LCM of Numerators i.e. for 763,6111 is 666099
GCF of denominators i.e. for 326,1647 is 1.
Thus, LCM of Fractions is 666099.Finally, LCM of Fractions for 763/326, 6111/1647 is 666099.