Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/76, 551/83, 712/365 quickly i.e. 35700392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/76, 551/83, 712/365 is 35700392.
LCM(91/76, 551/83, 712/365) = 35700392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/76,551/83,712/365
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 91,551,712
Least Common Multiple of Numerators i.e. LCM of 91,551,712 is 35700392.
GCF of Denominators means GCF of 76,83,365 as per the given fractions.
GCF of 76,83,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,551,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 35700392
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 91,551,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,551,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,551,712) x common factors =1 x 1 = 1
LCM(91,551,712) = ( 91 × 551 × 712 ) / 1
LCM(91,551,712) = 35700392 / 1
LCM(91,551,712) = 35700392
Lets's calculate GCF of 76,83,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35700392/1
Therefore the LCM of Fractions 91/76,551/83,712/365 is 35700392
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 76,83,365 . The biggest common factor number is the GCF number.
So the greatest common factor 76,83,365 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 91/76, 551/83, 712/365?
Answer: LCM of Numerators as per given numbers 91/76, 551/83, 712/365 is
LCM of Numerators i.e. for 91,551,712 is 35700392
GCF of denominators i.e. for 76,83,365 is 1.
Thus, LCM of Fractions is 35700392.Finally, LCM of Fractions for 91/76, 551/83, 712/365 is 35700392.