Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/421, 69/736, 474/242 quickly i.e. 32706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/421, 69/736, 474/242 is 32706.
LCM(18/421, 69/736, 474/242) = 32706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/421,69/736,474/242
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 18,69,474
Least Common Multiple of Numerators i.e. LCM of 18,69,474 is 32706.
GCF of Denominators means GCF of 421,736,242 as per the given fractions.
GCF of 421,736,242 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,69,474
2 | 18, 69, 474 |
3 | 9, 69, 237 |
3, 23, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 79 = 32706
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 18,69,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,69,474) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(18,69,474) x common factors =3 x 6 = 18
LCM(18,69,474) = ( 18 × 69 × 474 ) / 18
LCM(18,69,474) = 588708 / 18
LCM(18,69,474) = 32706
Lets's calculate GCF of 421,736,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32706/1
Therefore the LCM of Fractions 18/421,69/736,474/242 is 32706
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 421,736,242 . The biggest common factor number is the GCF number.
So the greatest common factor 421,736,242 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 18/421, 69/736, 474/242?
Answer: LCM of Numerators as per given numbers 18/421, 69/736, 474/242 is
LCM of Numerators i.e. for 18,69,474 is 32706
GCF of denominators i.e. for 421,736,242 is 1.
Thus, LCM of Fractions is 32706.Finally, LCM of Fractions for 18/421, 69/736, 474/242 is 32706.