LCM of 470, 999, 735, 895, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 999, 735, 895, 810 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 470, 999, 735, 895, 810. So, keep reading to learn more.
Given numbers are 470,999,735,895,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,999,735,895,810 is 12354742890.
Find LCM of 470,999,735,895,810 with Prime Factorization
| 2 | 470, 999, 735, 895, 810 |
| 3 | 235, 999, 735, 895, 405 |
| 3 | 235, 333, 245, 895, 135 |
| 3 | 235, 111, 245, 895, 45 |
| 5 | 235, 37, 245, 895, 15 |
| 47, 37, 49, 179, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 47 x 37 x 49 x 179 x 3 = 12354742890
Therefore, the lowest common multiple of 470,999,735,895,810 is 12354742890.
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.
470 x 999 x 735 x 895 x 810 = 250183543522500
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
999 : 1, 3, 9, 27, 37, 111, 333, 999
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
895 : 1, 5, 179, 895
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,999,735,895,810, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
999:3x 3x 3x 37
735:3x 5x 7x 7
895:5x 179
810:2x 3x 3x 3x 3x 5
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 5 = 20250
Therefore, the value for common factors is 20250.
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 = 250183543522500/(1x20250)
LCM = 250183543522500/20250
LCM = 12354742890
Thus, we can understand that the LCM of 470,999,735,895,810 is 12354742890.
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FAQs on LCM of 470, 999, 735, 895, 810
1. What is the LCM of 470, 999, 735, 895, 810?
Answer: LCM of 470, 999, 735, 895, 810 is 12354742890.
2. How to calculate the LCM of 470, 999, 735, 895, 810?
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 470, 999, 735, 895, 810.
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}.