Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8069/134, 1634/532 quickly i.e. 6592373 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8069/134, 1634/532 is 6592373.
LCM(8069/134, 1634/532) = 6592373
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8069/134,1634/532
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 8069,1634
Least Common Multiple of Numerators i.e. LCM of 8069,1634 is 13184746.
GCF of Denominators means GCF of 134,532 as per the given fractions.
GCF of 134,532 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8069,1634
Given numbers has no common factors except 1. So, there LCM is their product i.e 13184746
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 8069,1634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8069,1634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8069,1634) x common factors =1 x 1 = 1
LCM(8069,1634) = ( 8069 × 1634 ) / 1
LCM(8069,1634) = 13184746 / 1
LCM(8069,1634) = 13184746
Lets's calculate GCF of 134,532
2 | 134, 532 |
67, 266 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13184746/2
Therefore the LCM of Fractions 8069/134,1634/532 is 6592373
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 134,532 . The biggest common factor number is the GCF number.
So the greatest common factor 134,532 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 8069/134, 1634/532?
Answer: LCM of Numerators as per given numbers 8069/134, 1634/532 is
LCM of Numerators i.e. for 8069,1634 is 13184746
GCF of denominators i.e. for 134,532 is 2.
Thus, LCM of Fractions is 6592373.Finally, LCM of Fractions for 8069/134, 1634/532 is 6592373.