Find the LCM of 909, 990, 595, 355, 525 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 909, 990, 595, 355, 525. So, keep reading to learn more.
Given numbers are 909,990,595,355,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,990,595,355,525 is 4224077550.
Find LCM of 909,990,595,355,525 with Prime Factorization
3 | 909, 990, 595, 355, 525 |
3 | 303, 330, 595, 355, 175 |
5 | 101, 110, 595, 355, 175 |
7 | 101, 22, 119, 71, 35 |
101, 22, 17, 71, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 101 x 22 x 17 x 71 x 5 = 4224077550
Therefore, the lowest common multiple of 909,990,595,355,525 is 4224077550.
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.
909 x 990 x 595 x 355 x 525 = 99793832118750
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.
909 : 1, 3, 9, 101, 303, 909
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
355 : 1, 5, 71, 355
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,990,595,355,525, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
990:2x 3x 3x 5x 11
595:5x 7x 17
355:5x 71
525:3x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 5x 7 = 23625
Therefore, the value for common factors is 23625.
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 = 99793832118750/(1x23625)
LCM = 99793832118750/23625
LCM = 4224077550
Thus, we can understand that the LCM of 909,990,595,355,525 is 4224077550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 990, 595, 355, 525?
Answer: LCM of 909, 990, 595, 355, 525 is 4224077550.
2. How to calculate the LCM of 909, 990, 595, 355, 525?
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 909, 990, 595, 355, 525.
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}.