LCM of 900, 260, 424, 408, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 260, 424, 408, 605 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 900, 260, 424, 408, 605. So, keep reading to learn more.
Given numbers are 900,260,424,408,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,260,424,408,605 is 2551091400.
Find LCM of 900,260,424,408,605 with Prime Factorization
| 2 | 900, 260, 424, 408, 605 |
| 2 | 450, 130, 212, 204, 605 |
| 2 | 225, 65, 106, 102, 605 |
| 3 | 225, 65, 53, 51, 605 |
| 5 | 75, 65, 53, 17, 605 |
| 15, 13, 53, 17, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 15 x 13 x 53 x 17 x 121 = 2551091400
Therefore, the lowest common multiple of 900,260,424,408,605 is 2551091400.
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.
900 x 260 x 424 x 408 x 605 = 24490477440000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
424 : 1, 2, 4, 8, 53, 106, 212, 424
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,260,424,408,605, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
260:2x 2x 5x 13
424:2x 2x 2x 53
408:2x 2x 2x 3x 17
605:5x 11x 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 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 24490477440000/(1x9600)
LCM = 24490477440000/9600
LCM = 2551091400
Thus, we can understand that the LCM of 900,260,424,408,605 is 2551091400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 900, 260, 424, 408, 605
1. What is the LCM of 900, 260, 424, 408, 605?
Answer: LCM of 900, 260, 424, 408, 605 is 2551091400.
2. How to calculate the LCM of 900, 260, 424, 408, 605?
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 900, 260, 424, 408, 605.
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}.