Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/966, 796/805, 701/270 quickly i.e. 22877836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/966, 796/805, 701/270 is 22877836.
LCM(41/966, 796/805, 701/270) = 22877836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/966,796/805,701/270
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 41,796,701
Least Common Multiple of Numerators i.e. LCM of 41,796,701 is 22877836.
GCF of Denominators means GCF of 966,805,270 as per the given fractions.
GCF of 966,805,270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,796,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 22877836
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 41,796,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,796,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,796,701) x common factors =1 x 1 = 1
LCM(41,796,701) = ( 41 × 796 × 701 ) / 1
LCM(41,796,701) = 22877836 / 1
LCM(41,796,701) = 22877836
Lets's calculate GCF of 966,805,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22877836/1
Therefore the LCM of Fractions 41/966,796/805,701/270 is 22877836
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 966,805,270 . The biggest common factor number is the GCF number.
So the greatest common factor 966,805,270 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 41/966, 796/805, 701/270?
Answer: LCM of Numerators as per given numbers 41/966, 796/805, 701/270 is
LCM of Numerators i.e. for 41,796,701 is 22877836
GCF of denominators i.e. for 966,805,270 is 1.
Thus, LCM of Fractions is 22877836.Finally, LCM of Fractions for 41/966, 796/805, 701/270 is 22877836.