Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/168, 189/115, 583/920 quickly i.e. 6831594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/168, 189/115, 583/920 is 6831594.
LCM(62/168, 189/115, 583/920) = 6831594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/168,189/115,583/920
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 62,189,583
Least Common Multiple of Numerators i.e. LCM of 62,189,583 is 6831594.
GCF of Denominators means GCF of 168,115,920 as per the given fractions.
GCF of 168,115,920 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,189,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 6831594
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 62,189,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,189,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,189,583) x common factors =1 x 1 = 1
LCM(62,189,583) = ( 62 × 189 × 583 ) / 1
LCM(62,189,583) = 6831594 / 1
LCM(62,189,583) = 6831594
Lets's calculate GCF of 168,115,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6831594/1
Therefore the LCM of Fractions 62/168,189/115,583/920 is 6831594
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
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 168,115,920 . The biggest common factor number is the GCF number.
So the greatest common factor 168,115,920 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 62/168, 189/115, 583/920?
Answer: LCM of Numerators as per given numbers 62/168, 189/115, 583/920 is
LCM of Numerators i.e. for 62,189,583 is 6831594
GCF of denominators i.e. for 168,115,920 is 1.
Thus, LCM of Fractions is 6831594.Finally, LCM of Fractions for 62/168, 189/115, 583/920 is 6831594.