Find the LCM of 440, 328, 729, 533, 990 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 440, 328, 729, 533, 990. So, keep reading to learn more.
Given numbers are 440,328,729,533,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,328,729,533,990 is 170965080.
Find LCM of 440,328,729,533,990 with Prime Factorization
2 | 440, 328, 729, 533, 990 |
2 | 220, 164, 729, 533, 495 |
2 | 110, 82, 729, 533, 495 |
3 | 55, 41, 729, 533, 495 |
3 | 55, 41, 243, 533, 165 |
5 | 55, 41, 81, 533, 55 |
11 | 11, 41, 81, 533, 11 |
41 | 1, 41, 81, 533, 1 |
1, 1, 81, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 41 x 1 x 1 x 81 x 13 x 1 = 170965080
Therefore, the lowest common multiple of 440,328,729,533,990 is 170965080.
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.
440 x 328 x 729 x 533 x 990 = 55515780777600
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
328 : 1, 2, 4, 8, 41, 82, 164, 328
729 : 1, 3, 9, 27, 81, 243, 729
533 : 1, 13, 41, 533
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,328,729,533,990, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
328:2x 2x 2x 41
729:3x 3x 3x 3x 3x 3
533:13x 41
990:2x 3x 3x 5x 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 3x 3x 5x 11x 41 = 324720
Therefore, the value for common factors is 324720.
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 = 55515780777600/(1x324720)
LCM = 55515780777600/324720
LCM = 170965080
Thus, we can understand that the LCM of 440,328,729,533,990 is 170965080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 440, 328, 729, 533, 990?
Answer: LCM of 440, 328, 729, 533, 990 is 170965080.
2. How to calculate the LCM of 440, 328, 729, 533, 990?
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 440, 328, 729, 533, 990.
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}.