Find the LCM of 363, 455, 403, 286, 433 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 363, 455, 403, 286, 433. So, keep reading to learn more.
Given numbers are 363,455,403,286,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,455,403,286,433 is 4434019590.
Find LCM of 363,455,403,286,433 with Prime Factorization
11 | 363, 455, 403, 286, 433 |
13 | 33, 455, 403, 26, 433 |
33, 35, 31, 2, 433 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 33 x 35 x 31 x 2 x 433 = 4434019590
Therefore, the lowest common multiple of 363,455,403,286,433 is 4434019590.
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.
363 x 455 x 403 x 286 x 433 = 8242842417810
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.
363 : 1, 3, 11, 33, 121, 363
455 : 1, 5, 7, 13, 35, 65, 91, 455
403 : 1, 13, 31, 403
286 : 1, 2, 11, 13, 22, 26, 143, 286
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,455,403,286,433, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
455:5x 7x 13
403:13x 31
286:2x 11x 13
433:433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 13 = 1859
Therefore, the value for common factors is 1859.
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 = 8242842417810/(1x1859)
LCM = 8242842417810/1859
LCM = 4434019590
Thus, we can understand that the LCM of 363,455,403,286,433 is 4434019590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 455, 403, 286, 433?
Answer: LCM of 363, 455, 403, 286, 433 is 4434019590.
2. How to calculate the LCM of 363, 455, 403, 286, 433?
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 363, 455, 403, 286, 433.
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}.