Find the LCM of 475, 418, 303, 808 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 475, 418, 303, 808. So, keep reading to learn more.
Given numbers are 475,418,303,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,418,303,808 is 12665400.
Find LCM of 475,418,303,808 with Prime Factorization
2 | 475, 418, 303, 808 |
19 | 475, 209, 303, 404 |
101 | 25, 11, 303, 404 |
25, 11, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 101 x 25 x 11 x 3 x 4 = 12665400
Therefore, the lowest common multiple of 475,418,303,808 is 12665400.
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.
475 x 418 x 303 x 808 = 48609805200
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.
475 : 1, 5, 19, 25, 95, 475
418 : 1, 2, 11, 19, 22, 38, 209, 418
303 : 1, 3, 101, 303
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,418,303,808, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
418:2x 11x 19
303:3x 101
808:2x 2x 2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 101 = 3838
Therefore, the value for common factors is 3838.
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 = 48609805200/(1x3838)
LCM = 48609805200/3838
LCM = 12665400
Thus, we can understand that the LCM of 475,418,303,808 is 12665400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 475, 418, 303, 808?
Answer: LCM of 475, 418, 303, 808 is 12665400.
2. How to calculate the LCM of 475, 418, 303, 808?
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 475, 418, 303, 808.
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}.