Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 501/72, 761/8144 quickly i.e. 381261/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 501/72, 761/8144 is 381261/8.
LCM(501/72, 761/8144) = 381261/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 501/72,761/8144
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 501,761
Least Common Multiple of Numerators i.e. LCM of 501,761 is 381261.
GCF of Denominators means GCF of 72,8144 as per the given fractions.
GCF of 72,8144 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 501,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 381261
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 501,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,761) x common factors =1 x 1 = 1
LCM(501,761) = ( 501 × 761 ) / 1
LCM(501,761) = 381261 / 1
LCM(501,761) = 381261
Lets's calculate GCF of 72,8144
2 | 72, 8144 |
2 | 36, 4072 |
2 | 18, 2036 |
9, 1018 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381261/8
Therefore the LCM of Fractions 501/72,761/8144 is 381261/8
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 8144
List of positive integer factors of 8144 that divides 8144 without a remainder.
1,2,4,8,16,509,1018,2036,4072,8144
Greatest Common Factor
We found the factors 72,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8144 is 8.
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 501/72, 761/8144?
Answer: LCM of Numerators as per given numbers 501/72, 761/8144 is
LCM of Numerators i.e. for 501,761 is 381261
GCF of denominators i.e. for 72,8144 is 8.
Thus, LCM of Fractions is 381261/8.Finally, LCM of Fractions for 501/72, 761/8144 is 381261/8.