Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/63, 3/75, 71/91, 37/197 quickly i.e. 63048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/63, 3/75, 71/91, 37/197 is 63048.
LCM(8/63, 3/75, 71/91, 37/197) = 63048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/63,3/75,71/91,37/197
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 8,3,71,37
Least Common Multiple of Numerators i.e. LCM of 8,3,71,37 is 63048.
GCF of Denominators means GCF of 63,75,91,197 as per the given fractions.
GCF of 63,75,91,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,3,71,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 63048
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 8,3,71,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,3,71,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,3,71,37) x common factors =1 x 1 = 1
LCM(8,3,71,37) = ( 8 × 3 × 71 × 37 ) / 1
LCM(8,3,71,37) = 63048 / 1
LCM(8,3,71,37) = 63048
Lets's calculate GCF of 63,75,91,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63048/1
Therefore the LCM of Fractions 8/63,3/75,71/91,37/197 is 63048
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 63,75,91,197 . The biggest common factor number is the GCF number.
So the greatest common factor 63,75,91,197 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 8/63, 3/75, 71/91, 37/197?
Answer: LCM of Numerators as per given numbers 8/63, 3/75, 71/91, 37/197 is
LCM of Numerators i.e. for 8,3,71,37 is 63048
GCF of denominators i.e. for 63,75,91,197 is 1.
Thus, LCM of Fractions is 63048.Finally, LCM of Fractions for 8/63, 3/75, 71/91, 37/197 is 63048.