Find the LCM of 442, 365, 166, 396, 329 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, 365, 166, 396, 329. So, keep reading to learn more.
Given numbers are 442,365,166,396,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,365,166,396,329 is 872276785380.
Find LCM of 442,365,166,396,329 with Prime Factorization
2 | 442, 365, 166, 396, 329 |
221, 365, 83, 198, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 221 x 365 x 83 x 198 x 329 = 872276785380
Therefore, the lowest common multiple of 442,365,166,396,329 is 872276785380.
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 365 x 166 x 396 x 329 = 3489107141520
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
365 : 1, 5, 73, 365
166 : 1, 2, 83, 166
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,365,166,396,329, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
365:5x 73
166:2x 83
396:2x 2x 3x 3x 11
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 3489107141520/(1x4)
LCM = 3489107141520/4
LCM = 872276785380
Thus, we can understand that the LCM of 442,365,166,396,329 is 872276785380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 365, 166, 396, 329?
Answer: LCM of 442, 365, 166, 396, 329 is 872276785380.
2. How to calculate the LCM of 442, 365, 166, 396, 329?
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, 365, 166, 396, 329.
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}.