Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/50, 88/36, 38/92, 57/368 quickly i.e. 77748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/50, 88/36, 38/92, 57/368 is 77748.
LCM(93/50, 88/36, 38/92, 57/368) = 77748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/50,88/36,38/92,57/368
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 93,88,38,57
Least Common Multiple of Numerators i.e. LCM of 93,88,38,57 is 155496.
GCF of Denominators means GCF of 50,36,92,368 as per the given fractions.
GCF of 50,36,92,368 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,88,38,57
2 | 93, 88, 38, 57 |
3 | 93, 44, 19, 57 |
19 | 31, 44, 19, 19 |
31, 44, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 31 x 44 x 1 x 1 = 155496
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 93,88,38,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,88,38,57) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(93,88,38,57) x common factors =1 x 114 = 114
LCM(93,88,38,57) = ( 93 × 88 × 38 × 57 ) / 114
LCM(93,88,38,57) = 17726544 / 114
LCM(93,88,38,57) = 155496
Lets's calculate GCF of 50,36,92,368
2 | 50, 36, 92, 368 |
25, 18, 46, 184 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155496/2
Therefore the LCM of Fractions 93/50,88/36,38/92,57/368 is 77748
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 50,36,92,368 . The biggest common factor number is the GCF number.
So the greatest common factor 50,36,92,368 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 93/50, 88/36, 38/92, 57/368?
Answer: LCM of Numerators as per given numbers 93/50, 88/36, 38/92, 57/368 is
LCM of Numerators i.e. for 93,88,38,57 is 155496
GCF of denominators i.e. for 50,36,92,368 is 2.
Thus, LCM of Fractions is 77748.Finally, LCM of Fractions for 93/50, 88/36, 38/92, 57/368 is 77748.