Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/726, 91/501, 657/695 quickly i.e. 3826368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/726, 91/501, 657/695 is 3826368.
LCM(64/726, 91/501, 657/695) = 3826368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/726,91/501,657/695
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 64,91,657
Least Common Multiple of Numerators i.e. LCM of 64,91,657 is 3826368.
GCF of Denominators means GCF of 726,501,695 as per the given fractions.
GCF of 726,501,695 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,91,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 3826368
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 64,91,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,91,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,91,657) x common factors =1 x 1 = 1
LCM(64,91,657) = ( 64 × 91 × 657 ) / 1
LCM(64,91,657) = 3826368 / 1
LCM(64,91,657) = 3826368
Lets's calculate GCF of 726,501,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3826368/1
Therefore the LCM of Fractions 64/726,91/501,657/695 is 3826368
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 726,501,695 . The biggest common factor number is the GCF number.
So the greatest common factor 726,501,695 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 64/726, 91/501, 657/695?
Answer: LCM of Numerators as per given numbers 64/726, 91/501, 657/695 is
LCM of Numerators i.e. for 64,91,657 is 3826368
GCF of denominators i.e. for 726,501,695 is 1.
Thus, LCM of Fractions is 3826368.Finally, LCM of Fractions for 64/726, 91/501, 657/695 is 3826368.