Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 701/81, 1358/575 quickly i.e. 951958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 701/81, 1358/575 is 951958.
LCM(701/81, 1358/575) = 951958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 701/81,1358/575
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 701,1358
Least Common Multiple of Numerators i.e. LCM of 701,1358 is 951958.
GCF of Denominators means GCF of 81,575 as per the given fractions.
GCF of 81,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 701,1358
Given numbers has no common factors except 1. So, there LCM is their product i.e 951958
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 701,1358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,1358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,1358) x common factors =1 x 1 = 1
LCM(701,1358) = ( 701 × 1358 ) / 1
LCM(701,1358) = 951958 / 1
LCM(701,1358) = 951958
Lets's calculate GCF of 81,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951958/1
Therefore the LCM of Fractions 701/81,1358/575 is 951958
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 81,575 . The biggest common factor number is the GCF number.
So the greatest common factor 81,575 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 701/81, 1358/575?
Answer: LCM of Numerators as per given numbers 701/81, 1358/575 is
LCM of Numerators i.e. for 701,1358 is 951958
GCF of denominators i.e. for 81,575 is 1.
Thus, LCM of Fractions is 951958.Finally, LCM of Fractions for 701/81, 1358/575 is 951958.