Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/719, 3610/168 quickly i.e. 581210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/719, 3610/168 is 581210.
LCM(161/719, 3610/168) = 581210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/719,3610/168
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 161,3610
Least Common Multiple of Numerators i.e. LCM of 161,3610 is 581210.
GCF of Denominators means GCF of 719,168 as per the given fractions.
GCF of 719,168 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,3610
Given numbers has no common factors except 1. So, there LCM is their product i.e 581210
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 161,3610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,3610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,3610) x common factors =1 x 1 = 1
LCM(161,3610) = ( 161 × 3610 ) / 1
LCM(161,3610) = 581210 / 1
LCM(161,3610) = 581210
Lets's calculate GCF of 719,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581210/1
Therefore the LCM of Fractions 161/719,3610/168 is 581210
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 719,168 . The biggest common factor number is the GCF number.
So the greatest common factor 719,168 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 161/719, 3610/168?
Answer: LCM of Numerators as per given numbers 161/719, 3610/168 is
LCM of Numerators i.e. for 161,3610 is 581210
GCF of denominators i.e. for 719,168 is 1.
Thus, LCM of Fractions is 581210.Finally, LCM of Fractions for 161/719, 3610/168 is 581210.