Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/872, 605/654 quickly i.e. 38720/218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/872, 605/654 is 38720/218.
LCM(320/872, 605/654) = 38720/218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/872,605/654
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 320,605
Least Common Multiple of Numerators i.e. LCM of 320,605 is 38720.
GCF of Denominators means GCF of 872,654 as per the given fractions.
GCF of 872,654 is 218 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,605
5 | 320, 605 |
64, 121 |
∴ So the LCM of the given numbers is 5 x 64 x 121 = 38720
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 320,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,605) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,605) x common factors =5 x 1 = 5
LCM(320,605) = ( 320 × 605 ) / 5
LCM(320,605) = 193600 / 5
LCM(320,605) = 38720
Lets's calculate GCF of 872,654
2 | 872, 654 |
109 | 436, 327 |
4, 3 |
∴ So the GCF of the given numbers is 2 x 109 = 218
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38720/218
Therefore the LCM of Fractions 320/872,605/654 is 38720/218
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 872,654 . The biggest common factor number is the GCF number.
So the greatest common factor 872,654 is 218.
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 320/872, 605/654?
Answer: LCM of Numerators as per given numbers 320/872, 605/654 is
LCM of Numerators i.e. for 320,605 is 38720
GCF of denominators i.e. for 872,654 is 218.
Thus, LCM of Fractions is 38720/218.Finally, LCM of Fractions for 320/872, 605/654 is 38720/218.