Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/42, 59/97, 38/18 quickly i.e. 87438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/42, 59/97, 38/18 is 87438.
LCM(39/42, 59/97, 38/18) = 87438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/42,59/97,38/18
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 39,59,38
Least Common Multiple of Numerators i.e. LCM of 39,59,38 is 87438.
GCF of Denominators means GCF of 42,97,18 as per the given fractions.
GCF of 42,97,18 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,59,38
Given numbers has no common factors except 1. So, there LCM is their product i.e 87438
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 39,59,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,59,38) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,59,38) x common factors =1 x 1 = 1
LCM(39,59,38) = ( 39 × 59 × 38 ) / 1
LCM(39,59,38) = 87438 / 1
LCM(39,59,38) = 87438
Lets's calculate GCF of 42,97,18
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87438/1
Therefore the LCM of Fractions 39/42,59/97,38/18 is 87438
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Greatest Common Factor
We found the factors 42,97,18 . The biggest common factor number is the GCF number.
So the greatest common factor 42,97,18 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 39/42, 59/97, 38/18?
Answer: LCM of Numerators as per given numbers 39/42, 59/97, 38/18 is
LCM of Numerators i.e. for 39,59,38 is 87438
GCF of denominators i.e. for 42,97,18 is 1.
Thus, LCM of Fractions is 87438.Finally, LCM of Fractions for 39/42, 59/97, 38/18 is 87438.