Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/416, 89/952, 593/144 quickly i.e. 2005526/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/416, 89/952, 593/144 is 2005526/8.
LCM(38/416, 89/952, 593/144) = 2005526/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/416,89/952,593/144
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 38,89,593
Least Common Multiple of Numerators i.e. LCM of 38,89,593 is 2005526.
GCF of Denominators means GCF of 416,952,144 as per the given fractions.
GCF of 416,952,144 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,89,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 2005526
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 38,89,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,89,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,89,593) x common factors =1 x 1 = 1
LCM(38,89,593) = ( 38 × 89 × 593 ) / 1
LCM(38,89,593) = 2005526 / 1
LCM(38,89,593) = 2005526
Lets's calculate GCF of 416,952,144
2 | 416, 952, 144 |
2 | 208, 476, 72 |
2 | 104, 238, 36 |
52, 119, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2005526/8
Therefore the LCM of Fractions 38/416,89/952,593/144 is 2005526/8
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 416,952,144 . The biggest common factor number is the GCF number.
So the greatest common factor 416,952,144 is 8.
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 38/416, 89/952, 593/144?
Answer: LCM of Numerators as per given numbers 38/416, 89/952, 593/144 is
LCM of Numerators i.e. for 38,89,593 is 2005526
GCF of denominators i.e. for 416,952,144 is 8.
Thus, LCM of Fractions is 2005526/8.Finally, LCM of Fractions for 38/416, 89/952, 593/144 is 2005526/8.