Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/728, 756/359 quickly i.e. 17388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/728, 756/359 is 17388.
LCM(161/728, 756/359) = 17388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/728,756/359
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 161,756
Least Common Multiple of Numerators i.e. LCM of 161,756 is 17388.
GCF of Denominators means GCF of 728,359 as per the given fractions.
GCF of 728,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,756
7 | 161, 756 |
23, 108 |
∴ So the LCM of the given numbers is 7 x 23 x 108 = 17388
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 161,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,756) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(161,756) x common factors =7 x 1 = 7
LCM(161,756) = ( 161 × 756 ) / 7
LCM(161,756) = 121716 / 7
LCM(161,756) = 17388
Lets's calculate GCF of 728,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17388/1
Therefore the LCM of Fractions 161/728,756/359 is 17388
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 728,359 . The biggest common factor number is the GCF number.
So the greatest common factor 728,359 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 161/728, 756/359?
Answer: LCM of Numerators as per given numbers 161/728, 756/359 is
LCM of Numerators i.e. for 161,756 is 17388
GCF of denominators i.e. for 728,359 is 1.
Thus, LCM of Fractions is 17388.Finally, LCM of Fractions for 161/728, 756/359 is 17388.