Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/195, 19/206, 533/502 quickly i.e. 496223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/195, 19/206, 533/502 is 496223.
LCM(49/195, 19/206, 533/502) = 496223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/195,19/206,533/502
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 49,19,533
Least Common Multiple of Numerators i.e. LCM of 49,19,533 is 496223.
GCF of Denominators means GCF of 195,206,502 as per the given fractions.
GCF of 195,206,502 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,19,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 496223
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 49,19,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,19,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,19,533) x common factors =1 x 1 = 1
LCM(49,19,533) = ( 49 × 19 × 533 ) / 1
LCM(49,19,533) = 496223 / 1
LCM(49,19,533) = 496223
Lets's calculate GCF of 195,206,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496223/1
Therefore the LCM of Fractions 49/195,19/206,533/502 is 496223
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 195,206,502 . The biggest common factor number is the GCF number.
So the greatest common factor 195,206,502 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 49/195, 19/206, 533/502?
Answer: LCM of Numerators as per given numbers 49/195, 19/206, 533/502 is
LCM of Numerators i.e. for 49,19,533 is 496223
GCF of denominators i.e. for 195,206,502 is 1.
Thus, LCM of Fractions is 496223.Finally, LCM of Fractions for 49/195, 19/206, 533/502 is 496223.