LCM of 445, 990, 470, 507, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 990, 470, 507, 308 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 445, 990, 470, 507, 308. So, keep reading to learn more.
Given numbers are 445,990,470,507,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,990,470,507,308 is 9798008220.
Find LCM of 445,990,470,507,308 with Prime Factorization
| 2 | 445, 990, 470, 507, 308 |
| 3 | 445, 495, 235, 507, 154 |
| 5 | 445, 165, 235, 169, 154 |
| 11 | 89, 33, 47, 169, 154 |
| 89, 3, 47, 169, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 89 x 3 x 47 x 169 x 14 = 9798008220
Therefore, the lowest common multiple of 445,990,470,507,308 is 9798008220.
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.
445 x 990 x 470 x 507 x 308 = 32333427126000
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.
445 : 1, 5, 89, 445
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
470 : 1, 2, 5, 10, 47, 94, 235, 470
507 : 1, 3, 13, 39, 169, 507
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,990,470,507,308, is 1.
Now, the common factors can be found like this.
445:5x 89
990:2x 3x 3x 5x 11
470:2x 5x 47
507:3x 13x 13
308:2x 2x 7x 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 3x 5x 5x 11 = 3300
Therefore, the value for common factors is 3300.
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 = 32333427126000/(1x3300)
LCM = 32333427126000/3300
LCM = 9798008220
Thus, we can understand that the LCM of 445,990,470,507,308 is 9798008220.
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FAQs on LCM of 445, 990, 470, 507, 308
1. What is the LCM of 445, 990, 470, 507, 308?
Answer: LCM of 445, 990, 470, 507, 308 is 9798008220.
2. How to calculate the LCM of 445, 990, 470, 507, 308?
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 445, 990, 470, 507, 308.
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}.