Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/386, 8152/4602 quickly i.e. 216028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/386, 8152/4602 is 216028.
LCM(53/386, 8152/4602) = 216028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/386,8152/4602
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 53,8152
Least Common Multiple of Numerators i.e. LCM of 53,8152 is 432056.
GCF of Denominators means GCF of 386,4602 as per the given fractions.
GCF of 386,4602 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,8152
Given numbers has no common factors except 1. So, there LCM is their product i.e 432056
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 53,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,8152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,8152) x common factors =1 x 1 = 1
LCM(53,8152) = ( 53 × 8152 ) / 1
LCM(53,8152) = 432056 / 1
LCM(53,8152) = 432056
Lets's calculate GCF of 386,4602
2 | 386, 4602 |
193, 2301 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432056/2
Therefore the LCM of Fractions 53/386,8152/4602 is 216028
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 386,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 386,4602 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 53/386, 8152/4602?
Answer: LCM of Numerators as per given numbers 53/386, 8152/4602 is
LCM of Numerators i.e. for 53,8152 is 432056
GCF of denominators i.e. for 386,4602 is 2.
Thus, LCM of Fractions is 216028.Finally, LCM of Fractions for 53/386, 8152/4602 is 216028.