Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/74, 550/52, 752/100 quickly i.e. 1964600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/74, 550/52, 752/100 is 1964600.
LCM(38/74, 550/52, 752/100) = 1964600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/74,550/52,752/100
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 38,550,752
Least Common Multiple of Numerators i.e. LCM of 38,550,752 is 3929200.
GCF of Denominators means GCF of 74,52,100 as per the given fractions.
GCF of 74,52,100 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,550,752
2 | 38, 550, 752 |
19, 275, 376 |
∴ So the LCM of the given numbers is 2 x 19 x 275 x 376 = 3929200
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 38,550,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,550,752) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(38,550,752) x common factors =2 x 2 = 4
LCM(38,550,752) = ( 38 × 550 × 752 ) / 4
LCM(38,550,752) = 15716800 / 4
LCM(38,550,752) = 3929200
Lets's calculate GCF of 74,52,100
2 | 74, 52, 100 |
37, 26, 50 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3929200/2
Therefore the LCM of Fractions 38/74,550/52,752/100 is 1964600
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 74,52,100 . The biggest common factor number is the GCF number.
So the greatest common factor 74,52,100 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 38/74, 550/52, 752/100?
Answer: LCM of Numerators as per given numbers 38/74, 550/52, 752/100 is
LCM of Numerators i.e. for 38,550,752 is 3929200
GCF of denominators i.e. for 74,52,100 is 2.
Thus, LCM of Fractions is 1964600.Finally, LCM of Fractions for 38/74, 550/52, 752/100 is 1964600.