Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/691, 41/417, 442/955 quickly i.e. 1141686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/691, 41/417, 442/955 is 1141686.
LCM(63/691, 41/417, 442/955) = 1141686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/691,41/417,442/955
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 63,41,442
Least Common Multiple of Numerators i.e. LCM of 63,41,442 is 1141686.
GCF of Denominators means GCF of 691,417,955 as per the given fractions.
GCF of 691,417,955 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,41,442
Given numbers has no common factors except 1. So, there LCM is their product i.e 1141686
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 63,41,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,41,442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,41,442) x common factors =1 x 1 = 1
LCM(63,41,442) = ( 63 × 41 × 442 ) / 1
LCM(63,41,442) = 1141686 / 1
LCM(63,41,442) = 1141686
Lets's calculate GCF of 691,417,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1141686/1
Therefore the LCM of Fractions 63/691,41/417,442/955 is 1141686
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 691,417,955 . The biggest common factor number is the GCF number.
So the greatest common factor 691,417,955 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 63/691, 41/417, 442/955?
Answer: LCM of Numerators as per given numbers 63/691, 41/417, 442/955 is
LCM of Numerators i.e. for 63,41,442 is 1141686
GCF of denominators i.e. for 691,417,955 is 1.
Thus, LCM of Fractions is 1141686.Finally, LCM of Fractions for 63/691, 41/417, 442/955 is 1141686.