Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/328, 709/629 quickly i.e. 96424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/328, 709/629 is 96424.
LCM(136/328, 709/629) = 96424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/328,709/629
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 136,709
Least Common Multiple of Numerators i.e. LCM of 136,709 is 96424.
GCF of Denominators means GCF of 328,629 as per the given fractions.
GCF of 328,629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 96424
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 136,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,709) x common factors =1 x 1 = 1
LCM(136,709) = ( 136 × 709 ) / 1
LCM(136,709) = 96424 / 1
LCM(136,709) = 96424
Lets's calculate GCF of 328,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96424/1
Therefore the LCM of Fractions 136/328,709/629 is 96424
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 328,629 . The biggest common factor number is the GCF number.
So the greatest common factor 328,629 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 136/328, 709/629?
Answer: LCM of Numerators as per given numbers 136/328, 709/629 is
LCM of Numerators i.e. for 136,709 is 96424
GCF of denominators i.e. for 328,629 is 1.
Thus, LCM of Fractions is 96424.Finally, LCM of Fractions for 136/328, 709/629 is 96424.