Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8889/163, 6823/279 quickly i.e. 60649647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8889/163, 6823/279 is 60649647.
LCM(8889/163, 6823/279) = 60649647
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8889/163,6823/279
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 8889,6823
Least Common Multiple of Numerators i.e. LCM of 8889,6823 is 60649647.
GCF of Denominators means GCF of 163,279 as per the given fractions.
GCF of 163,279 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8889,6823
Given numbers has no common factors except 1. So, there LCM is their product i.e 60649647
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 8889,6823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8889,6823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8889,6823) x common factors =1 x 1 = 1
LCM(8889,6823) = ( 8889 × 6823 ) / 1
LCM(8889,6823) = 60649647 / 1
LCM(8889,6823) = 60649647
Lets's calculate GCF of 163,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60649647/1
Therefore the LCM of Fractions 8889/163,6823/279 is 60649647
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 163,279 . The biggest common factor number is the GCF number.
So the greatest common factor 163,279 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 8889/163, 6823/279?
Answer: LCM of Numerators as per given numbers 8889/163, 6823/279 is
LCM of Numerators i.e. for 8889,6823 is 60649647
GCF of denominators i.e. for 163,279 is 1.
Thus, LCM of Fractions is 60649647.Finally, LCM of Fractions for 8889/163, 6823/279 is 60649647.