Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/93, 28/74, 25/63, 20/650 quickly i.e. 13300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/93, 28/74, 25/63, 20/650 is 13300.
LCM(38/93, 28/74, 25/63, 20/650) = 13300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/93,28/74,25/63,20/650
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 38,28,25,20
Least Common Multiple of Numerators i.e. LCM of 38,28,25,20 is 13300.
GCF of Denominators means GCF of 93,74,63,650 as per the given fractions.
GCF of 93,74,63,650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,28,25,20
2 | 38, 28, 25, 20 |
2 | 19, 14, 25, 10 |
5 | 19, 7, 25, 5 |
19, 7, 1, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 7 x 1 x 5 = 13300
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 38,28,25,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,28,25,20) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(38,28,25,20) x common factors =1 x 40 = 40
LCM(38,28,25,20) = ( 38 × 28 × 25 × 20 ) / 40
LCM(38,28,25,20) = 532000 / 40
LCM(38,28,25,20) = 13300
Lets's calculate GCF of 93,74,63,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13300/1
Therefore the LCM of Fractions 38/93,28/74,25/63,20/650 is 13300
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 93,74,63,650 . The biggest common factor number is the GCF number.
So the greatest common factor 93,74,63,650 is 1.
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 38/93, 28/74, 25/63, 20/650?
Answer: LCM of Numerators as per given numbers 38/93, 28/74, 25/63, 20/650 is
LCM of Numerators i.e. for 38,28,25,20 is 13300
GCF of denominators i.e. for 93,74,63,650 is 1.
Thus, LCM of Fractions is 13300.Finally, LCM of Fractions for 38/93, 28/74, 25/63, 20/650 is 13300.