Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 860/18, 385/506 quickly i.e. 33110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 860/18, 385/506 is 33110.
LCM(860/18, 385/506) = 33110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 860/18,385/506
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 860,385
Least Common Multiple of Numerators i.e. LCM of 860,385 is 66220.
GCF of Denominators means GCF of 18,506 as per the given fractions.
GCF of 18,506 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 860,385
5 | 860, 385 |
172, 77 |
∴ So the LCM of the given numbers is 5 x 172 x 77 = 66220
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 860,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(860,385) x common factors =5 x 1 = 5
LCM(860,385) = ( 860 × 385 ) / 5
LCM(860,385) = 331100 / 5
LCM(860,385) = 66220
Lets's calculate GCF of 18,506
2 | 18, 506 |
9, 253 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66220/2
Therefore the LCM of Fractions 860/18,385/506 is 33110
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 18,506 . The biggest common factor number is the GCF number.
So the greatest common factor 18,506 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 860/18, 385/506?
Answer: LCM of Numerators as per given numbers 860/18, 385/506 is
LCM of Numerators i.e. for 860,385 is 66220
GCF of denominators i.e. for 18,506 is 2.
Thus, LCM of Fractions is 33110.Finally, LCM of Fractions for 860/18, 385/506 is 33110.