Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 761/69, 326/3122 quickly i.e. 248086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 761/69, 326/3122 is 248086.
LCM(761/69, 326/3122) = 248086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 761/69,326/3122
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 761,326
Least Common Multiple of Numerators i.e. LCM of 761,326 is 248086.
GCF of Denominators means GCF of 69,3122 as per the given fractions.
GCF of 69,3122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 761,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 248086
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 761,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,326) x common factors =1 x 1 = 1
LCM(761,326) = ( 761 × 326 ) / 1
LCM(761,326) = 248086 / 1
LCM(761,326) = 248086
Lets's calculate GCF of 69,3122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248086/1
Therefore the LCM of Fractions 761/69,326/3122 is 248086
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 3122
List of positive integer factors of 3122 that divides 3122 without a remainder.
1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 69,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 69,3122 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 761/69, 326/3122?
Answer: LCM of Numerators as per given numbers 761/69, 326/3122 is
LCM of Numerators i.e. for 761,326 is 248086
GCF of denominators i.e. for 69,3122 is 1.
Thus, LCM of Fractions is 248086.Finally, LCM of Fractions for 761/69, 326/3122 is 248086.