Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 151/397, 8368/245 quickly i.e. 1263568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 151/397, 8368/245 is 1263568.
LCM(151/397, 8368/245) = 1263568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 151/397,8368/245
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 151,8368
Least Common Multiple of Numerators i.e. LCM of 151,8368 is 1263568.
GCF of Denominators means GCF of 397,245 as per the given fractions.
GCF of 397,245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 151,8368
Given numbers has no common factors except 1. So, there LCM is their product i.e 1263568
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 151,8368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,8368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,8368) x common factors =1 x 1 = 1
LCM(151,8368) = ( 151 × 8368 ) / 1
LCM(151,8368) = 1263568 / 1
LCM(151,8368) = 1263568
Lets's calculate GCF of 397,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1263568/1
Therefore the LCM of Fractions 151/397,8368/245 is 1263568
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 397,245 . The biggest common factor number is the GCF number.
So the greatest common factor 397,245 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 151/397, 8368/245?
Answer: LCM of Numerators as per given numbers 151/397, 8368/245 is
LCM of Numerators i.e. for 151,8368 is 1263568
GCF of denominators i.e. for 397,245 is 1.
Thus, LCM of Fractions is 1263568.Finally, LCM of Fractions for 151/397, 8368/245 is 1263568.