Find the LCM of 396, 132, 417, 280, 264 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 396, 132, 417, 280, 264. So, keep reading to learn more.
Given numbers are 396,132,417,280,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,132,417,280,264 is 3853080.
Find LCM of 396,132,417,280,264 with Prime Factorization
2 | 396, 132, 417, 280, 264 |
2 | 198, 66, 417, 140, 132 |
2 | 99, 33, 417, 70, 66 |
3 | 99, 33, 417, 35, 33 |
11 | 11, 11, 139, 35, 33 |
1, 1, 139, 35, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 1 x 1 x 139 x 35 x 3 = 3853080
Therefore, the lowest common multiple of 396,132,417,280,264 is 3853080.
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.
396 x 132 x 417 x 280 x 264 = 1611265582080
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
417 : 1, 3, 139, 417
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,132,417,280,264, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
132:2x 2x 3x 11
417:3x 139
280:2x 2x 2x 5x 7
264:2x 2x 2x 3x 11
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 2x 2x 2x 2x 2x 3x 3x 3x 11x 11 = 418176
Therefore, the value for common factors is 418176.
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 = 1611265582080/(1x418176)
LCM = 1611265582080/418176
LCM = 3853080
Thus, we can understand that the LCM of 396,132,417,280,264 is 3853080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 132, 417, 280, 264?
Answer: LCM of 396, 132, 417, 280, 264 is 3853080.
2. How to calculate the LCM of 396, 132, 417, 280, 264?
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 396, 132, 417, 280, 264.
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}.