Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/39, 375/18, 188/374 quickly i.e. 70500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/39, 375/18, 188/374 is 70500.
LCM(50/39, 375/18, 188/374) = 70500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/39,375/18,188/374
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 50,375,188
Least Common Multiple of Numerators i.e. LCM of 50,375,188 is 70500.
GCF of Denominators means GCF of 39,18,374 as per the given fractions.
GCF of 39,18,374 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,375,188
2 | 50, 375, 188 |
5 | 25, 375, 94 |
5 | 5, 75, 94 |
1, 15, 94 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 15 x 94 = 70500
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 50,375,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,375,188) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(50,375,188) x common factors =1 x 50 = 50
LCM(50,375,188) = ( 50 × 375 × 188 ) / 50
LCM(50,375,188) = 3525000 / 50
LCM(50,375,188) = 70500
Lets's calculate GCF of 39,18,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70500/1
Therefore the LCM of Fractions 50/39,375/18,188/374 is 70500
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 39,18,374 . The biggest common factor number is the GCF number.
So the greatest common factor 39,18,374 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 50/39, 375/18, 188/374?
Answer: LCM of Numerators as per given numbers 50/39, 375/18, 188/374 is
LCM of Numerators i.e. for 50,375,188 is 70500
GCF of denominators i.e. for 39,18,374 is 1.
Thus, LCM of Fractions is 70500.Finally, LCM of Fractions for 50/39, 375/18, 188/374 is 70500.