Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/321, 6968/639 quickly i.e. 369304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/321, 6968/639 is 369304.
LCM(159/321, 6968/639) = 369304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/321,6968/639
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 159,6968
Least Common Multiple of Numerators i.e. LCM of 159,6968 is 1107912.
GCF of Denominators means GCF of 321,639 as per the given fractions.
GCF of 321,639 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,6968
Given numbers has no common factors except 1. So, there LCM is their product i.e 1107912
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 159,6968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,6968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,6968) x common factors =1 x 1 = 1
LCM(159,6968) = ( 159 × 6968 ) / 1
LCM(159,6968) = 1107912 / 1
LCM(159,6968) = 1107912
Lets's calculate GCF of 321,639
3 | 321, 639 |
107, 213 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1107912/3
Therefore the LCM of Fractions 159/321,6968/639 is 369304
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
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 321,639 . The biggest common factor number is the GCF number.
So the greatest common factor 321,639 is 3.
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 159/321, 6968/639?
Answer: LCM of Numerators as per given numbers 159/321, 6968/639 is
LCM of Numerators i.e. for 159,6968 is 1107912
GCF of denominators i.e. for 321,639 is 3.
Thus, LCM of Fractions is 369304.Finally, LCM of Fractions for 159/321, 6968/639 is 369304.