Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/810, 43/138, 169/344 quickly i.e. 290680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/810, 43/138, 169/344 is 290680.
LCM(80/810, 43/138, 169/344) = 290680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/810,43/138,169/344
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 80,43,169
Least Common Multiple of Numerators i.e. LCM of 80,43,169 is 581360.
GCF of Denominators means GCF of 810,138,344 as per the given fractions.
GCF of 810,138,344 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,43,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 581360
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 80,43,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,43,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,43,169) x common factors =1 x 1 = 1
LCM(80,43,169) = ( 80 × 43 × 169 ) / 1
LCM(80,43,169) = 581360 / 1
LCM(80,43,169) = 581360
Lets's calculate GCF of 810,138,344
2 | 810, 138, 344 |
405, 69, 172 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581360/2
Therefore the LCM of Fractions 80/810,43/138,169/344 is 290680
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 810,138,344 . The biggest common factor number is the GCF number.
So the greatest common factor 810,138,344 is 2.
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 80/810, 43/138, 169/344?
Answer: LCM of Numerators as per given numbers 80/810, 43/138, 169/344 is
LCM of Numerators i.e. for 80,43,169 is 581360
GCF of denominators i.e. for 810,138,344 is 2.
Thus, LCM of Fractions is 290680.Finally, LCM of Fractions for 80/810, 43/138, 169/344 is 290680.