Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/38, 37/43, 91/35, 60/18 quickly i.e. 606060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/38, 37/43, 91/35, 60/18 is 606060.
LCM(63/38, 37/43, 91/35, 60/18) = 606060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/38,37/43,91/35,60/18
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 63,37,91,60
Least Common Multiple of Numerators i.e. LCM of 63,37,91,60 is 606060.
GCF of Denominators means GCF of 38,43,35,18 as per the given fractions.
GCF of 38,43,35,18 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,37,91,60
3 | 63, 37, 91, 60 |
7 | 21, 37, 91, 20 |
3, 37, 13, 20 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 37 x 13 x 20 = 606060
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 63,37,91,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,37,91,60) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(63,37,91,60) x common factors =1 x 21 = 21
LCM(63,37,91,60) = ( 63 × 37 × 91 × 60 ) / 21
LCM(63,37,91,60) = 12727260 / 21
LCM(63,37,91,60) = 606060
Lets's calculate GCF of 38,43,35,18
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606060/1
Therefore the LCM of Fractions 63/38,37/43,91/35,60/18 is 606060
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
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 38,43,35,18 . The biggest common factor number is the GCF number.
So the greatest common factor 38,43,35,18 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 63/38, 37/43, 91/35, 60/18?
Answer: LCM of Numerators as per given numbers 63/38, 37/43, 91/35, 60/18 is
LCM of Numerators i.e. for 63,37,91,60 is 606060
GCF of denominators i.e. for 38,43,35,18 is 1.
Thus, LCM of Fractions is 606060.Finally, LCM of Fractions for 63/38, 37/43, 91/35, 60/18 is 606060.