Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 186/240, 8324/375 quickly i.e. 774132/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 186/240, 8324/375 is 774132/15.
LCM(186/240, 8324/375) = 774132/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 186/240,8324/375
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 186,8324
Least Common Multiple of Numerators i.e. LCM of 186,8324 is 774132.
GCF of Denominators means GCF of 240,375 as per the given fractions.
GCF of 240,375 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 186,8324
2 | 186, 8324 |
93, 4162 |
∴ So the LCM of the given numbers is 2 x 93 x 4162 = 774132
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 186,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,8324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,8324) x common factors =2 x 1 = 2
LCM(186,8324) = ( 186 × 8324 ) / 2
LCM(186,8324) = 1548264 / 2
LCM(186,8324) = 774132
Lets's calculate GCF of 240,375
3 | 240, 375 |
5 | 80, 125 |
16, 25 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774132/15
Therefore the LCM of Fractions 186/240,8324/375 is 774132/15
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 240,375 . The biggest common factor number is the GCF number.
So the greatest common factor 240,375 is 15.
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 186/240, 8324/375?
Answer: LCM of Numerators as per given numbers 186/240, 8324/375 is
LCM of Numerators i.e. for 186,8324 is 774132
GCF of denominators i.e. for 240,375 is 15.
Thus, LCM of Fractions is 774132/15.Finally, LCM of Fractions for 186/240, 8324/375 is 774132/15.