Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/370, 8353/1608 quickly i.e. 183766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/370, 8353/1608 is 183766.
LCM(44/370, 8353/1608) = 183766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/370,8353/1608
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 44,8353
Least Common Multiple of Numerators i.e. LCM of 44,8353 is 367532.
GCF of Denominators means GCF of 370,1608 as per the given fractions.
GCF of 370,1608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,8353
Given numbers has no common factors except 1. So, there LCM is their product i.e 367532
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 44,8353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,8353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,8353) x common factors =1 x 1 = 1
LCM(44,8353) = ( 44 × 8353 ) / 1
LCM(44,8353) = 367532 / 1
LCM(44,8353) = 367532
Lets's calculate GCF of 370,1608
2 | 370, 1608 |
185, 804 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367532/2
Therefore the LCM of Fractions 44/370,8353/1608 is 183766
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 1608
List of positive integer factors of 1608 that divides 1608 without a remainder.
1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Greatest Common Factor
We found the factors 370,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 370,1608 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 44/370, 8353/1608?
Answer: LCM of Numerators as per given numbers 44/370, 8353/1608 is
LCM of Numerators i.e. for 44,8353 is 367532
GCF of denominators i.e. for 370,1608 is 2.
Thus, LCM of Fractions is 183766.Finally, LCM of Fractions for 44/370, 8353/1608 is 183766.