Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/511, 2708/413 quickly i.e. 880100/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/511, 2708/413 is 880100/7.
LCM(325/511, 2708/413) = 880100/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/511,2708/413
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 325,2708
Least Common Multiple of Numerators i.e. LCM of 325,2708 is 880100.
GCF of Denominators means GCF of 511,413 as per the given fractions.
GCF of 511,413 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,2708
Given numbers has no common factors except 1. So, there LCM is their product i.e 880100
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 325,2708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,2708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,2708) x common factors =1 x 1 = 1
LCM(325,2708) = ( 325 × 2708 ) / 1
LCM(325,2708) = 880100 / 1
LCM(325,2708) = 880100
Lets's calculate GCF of 511,413
7 | 511, 413 |
73, 59 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 880100/7
Therefore the LCM of Fractions 325/511,2708/413 is 880100/7
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 511,413 . The biggest common factor number is the GCF number.
So the greatest common factor 511,413 is 7.
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 325/511, 2708/413?
Answer: LCM of Numerators as per given numbers 325/511, 2708/413 is
LCM of Numerators i.e. for 325,2708 is 880100
GCF of denominators i.e. for 511,413 is 7.
Thus, LCM of Fractions is 880100/7.Finally, LCM of Fractions for 325/511, 2708/413 is 880100/7.