Find the LCM of 901, 585, 473, 429, 366 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 901, 585, 473, 429, 366. So, keep reading to learn more.
Given numbers are 901,585,473,429,366
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,585,473,429,366 is 30415967010.
Find LCM of 901,585,473,429,366 with Prime Factorization
3 | 901, 585, 473, 429, 366 |
11 | 901, 195, 473, 143, 122 |
13 | 901, 195, 43, 13, 122 |
901, 15, 43, 1, 122 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 901 x 15 x 43 x 1 x 122 = 30415967010
Therefore, the lowest common multiple of 901,585,473,429,366 is 30415967010.
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.
901 x 585 x 473 x 429 x 366 = 39145349541870
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.
901 : 1, 17, 53, 901
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
473 : 1, 11, 43, 473
429 : 1, 3, 11, 13, 33, 39, 143, 429
366 : 1, 2, 3, 6, 61, 122, 183, 366
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,585,473,429,366, is 1.
Now, the common factors can be found like this.
901:17x 53
585:3x 3x 5x 13
473:11x 43
429:3x 11x 13
366:2x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 13 = 1287
Therefore, the value for common factors is 1287.
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 = 39145349541870/(1x1287)
LCM = 39145349541870/1287
LCM = 30415967010
Thus, we can understand that the LCM of 901,585,473,429,366 is 30415967010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 585, 473, 429, 366?
Answer: LCM of 901, 585, 473, 429, 366 is 30415967010.
2. How to calculate the LCM of 901, 585, 473, 429, 366?
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 901, 585, 473, 429, 366.
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}.