Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 382/10, 485/7536 quickly i.e. 92635 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 382/10, 485/7536 is 92635.
LCM(382/10, 485/7536) = 92635
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 382/10,485/7536
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 382,485
Least Common Multiple of Numerators i.e. LCM of 382,485 is 185270.
GCF of Denominators means GCF of 10,7536 as per the given fractions.
GCF of 10,7536 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 382,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 185270
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 382,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,485) x common factors =1 x 1 = 1
LCM(382,485) = ( 382 × 485 ) / 1
LCM(382,485) = 185270 / 1
LCM(382,485) = 185270
Lets's calculate GCF of 10,7536
2 | 10, 7536 |
5, 3768 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185270/2
Therefore the LCM of Fractions 382/10,485/7536 is 92635
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 7536
List of positive integer factors of 7536 that divides 7536 without a remainder.
1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Greatest Common Factor
We found the factors 10,7536 . The biggest common factor number is the GCF number.
So the greatest common factor 10,7536 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 382/10, 485/7536?
Answer: LCM of Numerators as per given numbers 382/10, 485/7536 is
LCM of Numerators i.e. for 382,485 is 185270
GCF of denominators i.e. for 10,7536 is 2.
Thus, LCM of Fractions is 92635.Finally, LCM of Fractions for 382/10, 485/7536 is 92635.