Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/14, 53/434, 418/606 quickly i.e. 11077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/14, 53/434, 418/606 is 11077.
LCM(11/14, 53/434, 418/606) = 11077
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/14,53/434,418/606
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 11,53,418
Least Common Multiple of Numerators i.e. LCM of 11,53,418 is 22154.
GCF of Denominators means GCF of 14,434,606 as per the given fractions.
GCF of 14,434,606 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,53,418
11 | 11, 53, 418 |
1, 53, 38 |
∴ So the LCM of the given numbers is 11 x 1 x 53 x 38 = 22154
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 11,53,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,53,418) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(11,53,418) x common factors =1 x 11 = 11
LCM(11,53,418) = ( 11 × 53 × 418 ) / 11
LCM(11,53,418) = 243694 / 11
LCM(11,53,418) = 22154
Lets's calculate GCF of 14,434,606
2 | 14, 434, 606 |
7, 217, 303 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22154/2
Therefore the LCM of Fractions 11/14,53/434,418/606 is 11077
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 14,434,606 . The biggest common factor number is the GCF number.
So the greatest common factor 14,434,606 is 2.
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 11/14, 53/434, 418/606?
Answer: LCM of Numerators as per given numbers 11/14, 53/434, 418/606 is
LCM of Numerators i.e. for 11,53,418 is 22154
GCF of denominators i.e. for 14,434,606 is 2.
Thus, LCM of Fractions is 11077.Finally, LCM of Fractions for 11/14, 53/434, 418/606 is 11077.