Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/534, 8574/3197 quickly i.e. 265794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/534, 8574/3197 is 265794.
LCM(62/534, 8574/3197) = 265794
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/534,8574/3197
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 62,8574
Least Common Multiple of Numerators i.e. LCM of 62,8574 is 265794.
GCF of Denominators means GCF of 534,3197 as per the given fractions.
GCF of 534,3197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,8574
2 | 62, 8574 |
31, 4287 |
∴ So the LCM of the given numbers is 2 x 31 x 4287 = 265794
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 62,8574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8574) x common factors =2 x 1 = 2
LCM(62,8574) = ( 62 × 8574 ) / 2
LCM(62,8574) = 531588 / 2
LCM(62,8574) = 265794
Lets's calculate GCF of 534,3197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265794/1
Therefore the LCM of Fractions 62/534,8574/3197 is 265794
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 3197
List of positive integer factors of 3197 that divides 3197 without a remainder.
1,23,139,3197
Greatest Common Factor
We found the factors 534,3197 . The biggest common factor number is the GCF number.
So the greatest common factor 534,3197 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 62/534, 8574/3197?
Answer: LCM of Numerators as per given numbers 62/534, 8574/3197 is
LCM of Numerators i.e. for 62,8574 is 265794
GCF of denominators i.e. for 534,3197 is 1.
Thus, LCM of Fractions is 265794.Finally, LCM of Fractions for 62/534, 8574/3197 is 265794.