Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 169/82, 813/7614 quickly i.e. 137397/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 169/82, 813/7614 is 137397/2.
LCM(169/82, 813/7614) = 137397/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 169/82,813/7614
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 169,813
Least Common Multiple of Numerators i.e. LCM of 169,813 is 137397.
GCF of Denominators means GCF of 82,7614 as per the given fractions.
GCF of 82,7614 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 169,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 137397
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 169,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,813) x common factors =1 x 1 = 1
LCM(169,813) = ( 169 × 813 ) / 1
LCM(169,813) = 137397 / 1
LCM(169,813) = 137397
Lets's calculate GCF of 82,7614
2 | 82, 7614 |
41, 3807 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137397/2
Therefore the LCM of Fractions 169/82,813/7614 is 137397/2
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 7614
List of positive integer factors of 7614 that divides 7614 without a remainder.
1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614
Greatest Common Factor
We found the factors 82,7614 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7614 is 2.
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 169/82, 813/7614?
Answer: LCM of Numerators as per given numbers 169/82, 813/7614 is
LCM of Numerators i.e. for 169,813 is 137397
GCF of denominators i.e. for 82,7614 is 2.
Thus, LCM of Fractions is 137397/2.Finally, LCM of Fractions for 169/82, 813/7614 is 137397/2.