Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/271, 7232/3773 quickly i.e. 65088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/271, 7232/3773 is 65088.
LCM(72/271, 7232/3773) = 65088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/271,7232/3773
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 72,7232
Least Common Multiple of Numerators i.e. LCM of 72,7232 is 65088.
GCF of Denominators means GCF of 271,3773 as per the given fractions.
GCF of 271,3773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,7232
2 | 72, 7232 |
2 | 36, 3616 |
2 | 18, 1808 |
9, 904 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 904 = 65088
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 72,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,7232) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(72,7232) x common factors =8 x 1 = 8
LCM(72,7232) = ( 72 × 7232 ) / 8
LCM(72,7232) = 520704 / 8
LCM(72,7232) = 65088
Lets's calculate GCF of 271,3773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65088/1
Therefore the LCM of Fractions 72/271,7232/3773 is 65088
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 3773
List of positive integer factors of 3773 that divides 3773 without a remainder.
1,7,11,49,77,343,539,3773
Greatest Common Factor
We found the factors 271,3773 . The biggest common factor number is the GCF number.
So the greatest common factor 271,3773 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 72/271, 7232/3773?
Answer: LCM of Numerators as per given numbers 72/271, 7232/3773 is
LCM of Numerators i.e. for 72,7232 is 65088
GCF of denominators i.e. for 271,3773 is 1.
Thus, LCM of Fractions is 65088.Finally, LCM of Fractions for 72/271, 7232/3773 is 65088.