Find the LCM of 318, 165, 603, 990, 695 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 318, 165, 603, 990, 695. So, keep reading to learn more.
Given numbers are 318,165,603,990,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,165,603,990,695 is 488653110.
Find LCM of 318,165,603,990,695 with Prime Factorization
2 | 318, 165, 603, 990, 695 |
3 | 159, 165, 603, 495, 695 |
3 | 53, 55, 201, 165, 695 |
5 | 53, 55, 67, 55, 695 |
11 | 53, 11, 67, 11, 139 |
53, 1, 67, 1, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 53 x 1 x 67 x 1 x 139 = 488653110
Therefore, the lowest common multiple of 318,165,603,990,695 is 488653110.
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.
318 x 165 x 603 x 990 x 695 = 21769496050500
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
165 : 1, 3, 5, 11, 15, 33, 55, 165
603 : 1, 3, 9, 67, 201, 603
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
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,165,603,990,695, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
165:3x 5x 11
603:3x 3x 67
990:2x 3x 3x 5x 11
695:5x 139
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 3x 3x 3x 5x 5x 11 = 44550
Therefore, the value for common factors is 44550.
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 = 21769496050500/(1x44550)
LCM = 21769496050500/44550
LCM = 488653110
Thus, we can understand that the LCM of 318,165,603,990,695 is 488653110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 165, 603, 990, 695?
Answer: LCM of 318, 165, 603, 990, 695 is 488653110.
2. How to calculate the LCM of 318, 165, 603, 990, 695?
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 318, 165, 603, 990, 695.
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}.