Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/529, 197/502, 283/402 quickly i.e. 21519886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/529, 197/502, 283/402 is 21519886.
LCM(386/529, 197/502, 283/402) = 21519886
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/529,197/502,283/402
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 386,197,283
Least Common Multiple of Numerators i.e. LCM of 386,197,283 is 21519886.
GCF of Denominators means GCF of 529,502,402 as per the given fractions.
GCF of 529,502,402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,197,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 21519886
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 386,197,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,197,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,197,283) x common factors =1 x 1 = 1
LCM(386,197,283) = ( 386 × 197 × 283 ) / 1
LCM(386,197,283) = 21519886 / 1
LCM(386,197,283) = 21519886
Lets's calculate GCF of 529,502,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21519886/1
Therefore the LCM of Fractions 386/529,197/502,283/402 is 21519886
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 529,502,402 . The biggest common factor number is the GCF number.
So the greatest common factor 529,502,402 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 386/529, 197/502, 283/402?
Answer: LCM of Numerators as per given numbers 386/529, 197/502, 283/402 is
LCM of Numerators i.e. for 386,197,283 is 21519886
GCF of denominators i.e. for 529,502,402 is 1.
Thus, LCM of Fractions is 21519886.Finally, LCM of Fractions for 386/529, 197/502, 283/402 is 21519886.