Find the LCM of 442, 330, 335, 515 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 442, 330, 335, 515. So, keep reading to learn more.
Given numbers are 442,330,335,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,330,335,515 is 503289930.
Find LCM of 442,330,335,515 with Prime Factorization
2 | 442, 330, 335, 515 |
5 | 221, 165, 335, 515 |
221, 33, 67, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 221 x 33 x 67 x 103 = 503289930
Therefore, the lowest common multiple of 442,330,335,515 is 503289930.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
442 x 330 x 335 x 515 = 25164496500
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
442 : 1, 2, 13, 17, 26, 34, 221, 442
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
335 : 1, 5, 67, 335
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,330,335,515, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
330:2x 3x 5x 11
335:5x 67
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 25164496500/(1x50)
LCM = 25164496500/50
LCM = 503289930
Thus, we can understand that the LCM of 442,330,335,515 is 503289930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 330, 335, 515?
Answer: LCM of 442, 330, 335, 515 is 503289930.
2. How to calculate the LCM of 442, 330, 335, 515?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 442, 330, 335, 515.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.