Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/193, 892/412, 863/552 quickly i.e. 50036740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/193, 892/412, 863/552 is 50036740.
LCM(65/193, 892/412, 863/552) = 50036740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/193,892/412,863/552
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 65,892,863
Least Common Multiple of Numerators i.e. LCM of 65,892,863 is 50036740.
GCF of Denominators means GCF of 193,412,552 as per the given fractions.
GCF of 193,412,552 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,892,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 50036740
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 65,892,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,892,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,892,863) x common factors =1 x 1 = 1
LCM(65,892,863) = ( 65 × 892 × 863 ) / 1
LCM(65,892,863) = 50036740 / 1
LCM(65,892,863) = 50036740
Lets's calculate GCF of 193,412,552
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50036740/1
Therefore the LCM of Fractions 65/193,892/412,863/552 is 50036740
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 193,412,552 . The biggest common factor number is the GCF number.
So the greatest common factor 193,412,552 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 65/193, 892/412, 863/552?
Answer: LCM of Numerators as per given numbers 65/193, 892/412, 863/552 is
LCM of Numerators i.e. for 65,892,863 is 50036740
GCF of denominators i.e. for 193,412,552 is 1.
Thus, LCM of Fractions is 50036740.Finally, LCM of Fractions for 65/193, 892/412, 863/552 is 50036740.