Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 163/278, 9241/6565 quickly i.e. 1506283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 163/278, 9241/6565 is 1506283.
LCM(163/278, 9241/6565) = 1506283
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 163/278,9241/6565
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 163,9241
Least Common Multiple of Numerators i.e. LCM of 163,9241 is 1506283.
GCF of Denominators means GCF of 278,6565 as per the given fractions.
GCF of 278,6565 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 163,9241
Given numbers has no common factors except 1. So, there LCM is their product i.e 1506283
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 163,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,9241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,9241) x common factors =1 x 1 = 1
LCM(163,9241) = ( 163 × 9241 ) / 1
LCM(163,9241) = 1506283 / 1
LCM(163,9241) = 1506283
Lets's calculate GCF of 278,6565
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1506283/1
Therefore the LCM of Fractions 163/278,9241/6565 is 1506283
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 6565
List of positive integer factors of 6565 that divides 6565 without a remainder.
1,5,13,65,101,505,1313,6565
Greatest Common Factor
We found the factors 278,6565 . The biggest common factor number is the GCF number.
So the greatest common factor 278,6565 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 163/278, 9241/6565?
Answer: LCM of Numerators as per given numbers 163/278, 9241/6565 is
LCM of Numerators i.e. for 163,9241 is 1506283
GCF of denominators i.e. for 278,6565 is 1.
Thus, LCM of Fractions is 1506283.Finally, LCM of Fractions for 163/278, 9241/6565 is 1506283.