Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/451, 604/563, 695/440 quickly i.e. 38199980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/451, 604/563, 695/440 is 38199980.
LCM(91/451, 604/563, 695/440) = 38199980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/451,604/563,695/440
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 91,604,695
Least Common Multiple of Numerators i.e. LCM of 91,604,695 is 38199980.
GCF of Denominators means GCF of 451,563,440 as per the given fractions.
GCF of 451,563,440 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,604,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 38199980
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 91,604,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,604,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,604,695) x common factors =1 x 1 = 1
LCM(91,604,695) = ( 91 × 604 × 695 ) / 1
LCM(91,604,695) = 38199980 / 1
LCM(91,604,695) = 38199980
Lets's calculate GCF of 451,563,440
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38199980/1
Therefore the LCM of Fractions 91/451,604/563,695/440 is 38199980
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Greatest Common Factor
We found the factors 451,563,440 . The biggest common factor number is the GCF number.
So the greatest common factor 451,563,440 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 91/451, 604/563, 695/440?
Answer: LCM of Numerators as per given numbers 91/451, 604/563, 695/440 is
LCM of Numerators i.e. for 91,604,695 is 38199980
GCF of denominators i.e. for 451,563,440 is 1.
Thus, LCM of Fractions is 38199980.Finally, LCM of Fractions for 91/451, 604/563, 695/440 is 38199980.