Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3343/86, 7167/639 quickly i.e. 23959281 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3343/86, 7167/639 is 23959281.
LCM(3343/86, 7167/639) = 23959281
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3343/86,7167/639
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 3343,7167
Least Common Multiple of Numerators i.e. LCM of 3343,7167 is 23959281.
GCF of Denominators means GCF of 86,639 as per the given fractions.
GCF of 86,639 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3343,7167
Given numbers has no common factors except 1. So, there LCM is their product i.e 23959281
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 3343,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3343,7167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3343,7167) x common factors =1 x 1 = 1
LCM(3343,7167) = ( 3343 × 7167 ) / 1
LCM(3343,7167) = 23959281 / 1
LCM(3343,7167) = 23959281
Lets's calculate GCF of 86,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23959281/1
Therefore the LCM of Fractions 3343/86,7167/639 is 23959281
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Greatest Common Factor
We found the factors 86,639 . The biggest common factor number is the GCF number.
So the greatest common factor 86,639 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 3343/86, 7167/639?
Answer: LCM of Numerators as per given numbers 3343/86, 7167/639 is
LCM of Numerators i.e. for 3343,7167 is 23959281
GCF of denominators i.e. for 86,639 is 1.
Thus, LCM of Fractions is 23959281.Finally, LCM of Fractions for 3343/86, 7167/639 is 23959281.