Find the LCM of 418, 435, 986, 450, 257 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 418, 435, 986, 450, 257. So, keep reading to learn more.
Given numbers are 418,435,986,450,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,435,986,450,257 is 11916229050.
Find LCM of 418,435,986,450,257 with Prime Factorization
2 | 418, 435, 986, 450, 257 |
3 | 209, 435, 493, 225, 257 |
5 | 209, 145, 493, 75, 257 |
29 | 209, 29, 493, 15, 257 |
209, 1, 17, 15, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 209 x 1 x 17 x 15 x 257 = 11916229050
Therefore, the lowest common multiple of 418,435,986,450,257 is 11916229050.
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.
418 x 435 x 986 x 450 x 257 = 20734238547000
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
435 : 1, 3, 5, 15, 29, 87, 145, 435
986 : 1, 2, 17, 29, 34, 58, 493, 986
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,435,986,450,257, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
435:3x 5x 29
986:2x 17x 29
450:2x 3x 3x 5x 5
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 5x 29 = 1740
Therefore, the value for common factors is 1740.
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 = 20734238547000/(1x1740)
LCM = 20734238547000/1740
LCM = 11916229050
Thus, we can understand that the LCM of 418,435,986,450,257 is 11916229050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 435, 986, 450, 257?
Answer: LCM of 418, 435, 986, 450, 257 is 11916229050.
2. How to calculate the LCM of 418, 435, 986, 450, 257?
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 418, 435, 986, 450, 257.
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}.