Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/84, 67/44, 63/387 quickly i.e. 160398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/84, 67/44, 63/387 is 160398.
LCM(38/84, 67/44, 63/387) = 160398
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/84,67/44,63/387
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 38,67,63
Least Common Multiple of Numerators i.e. LCM of 38,67,63 is 160398.
GCF of Denominators means GCF of 84,44,387 as per the given fractions.
GCF of 84,44,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,67,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 160398
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 38,67,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,67,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,67,63) x common factors =1 x 1 = 1
LCM(38,67,63) = ( 38 × 67 × 63 ) / 1
LCM(38,67,63) = 160398 / 1
LCM(38,67,63) = 160398
Lets's calculate GCF of 84,44,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160398/1
Therefore the LCM of Fractions 38/84,67/44,63/387 is 160398
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 84,44,387 . The biggest common factor number is the GCF number.
So the greatest common factor 84,44,387 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 38/84, 67/44, 63/387?
Answer: LCM of Numerators as per given numbers 38/84, 67/44, 63/387 is
LCM of Numerators i.e. for 38,67,63 is 160398
GCF of denominators i.e. for 84,44,387 is 1.
Thus, LCM of Fractions is 160398.Finally, LCM of Fractions for 38/84, 67/44, 63/387 is 160398.