Find the LCM of 442, 399, 851, 442, 207 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, 399, 851, 442, 207. So, keep reading to learn more.
Given numbers are 442,399,851,442,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,399,851,442,207 is 450241974.
Find LCM of 442,399,851,442,207 with Prime Factorization
2 | 442, 399, 851, 442, 207 |
3 | 221, 399, 851, 221, 207 |
13 | 221, 133, 851, 221, 69 |
17 | 17, 133, 851, 17, 69 |
23 | 1, 133, 851, 1, 69 |
1, 133, 37, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 23 x 1 x 133 x 37 x 1 x 3 = 450241974
Therefore, the lowest common multiple of 442,399,851,442,207 is 450241974.
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 399 x 851 x 442 x 207 = 13731479723052
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
399 : 1, 3, 7, 19, 21, 57, 133, 399
851 : 1, 23, 37, 851
442 : 1, 2, 13, 17, 26, 34, 221, 442
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,399,851,442,207, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
399:3x 7x 19
851:23x 37
442:2x 13x 17
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17x 23 = 30498
Therefore, the value for common factors is 30498.
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 = 13731479723052/(1x30498)
LCM = 13731479723052/30498
LCM = 450241974
Thus, we can understand that the LCM of 442,399,851,442,207 is 450241974.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 399, 851, 442, 207?
Answer: LCM of 442, 399, 851, 442, 207 is 450241974.
2. How to calculate the LCM of 442, 399, 851, 442, 207?
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, 399, 851, 442, 207.
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}.