LCM of 405, 553, 890, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 553, 890, 869 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 405, 553, 890, 869. So, keep reading to learn more.
Given numbers are 405,553,890,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,553,890,869 is 438523470.
Find LCM of 405,553,890,869 with Prime Factorization
| 5 | 405, 553, 890, 869 |
| 79 | 81, 553, 178, 869 |
| 81, 7, 178, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 81 x 7 x 178 x 11 = 438523470
Therefore, the lowest common multiple of 405,553,890,869 is 438523470.
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.
405 x 553 x 890 x 869 = 173216770650
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
553 : 1, 7, 79, 553
890 : 1, 2, 5, 10, 89, 178, 445, 890
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,553,890,869, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
553:7x 79
890:2x 5x 89
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 79 = 395
Therefore, the value for common factors is 395.
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 = 173216770650/(1x395)
LCM = 173216770650/395
LCM = 438523470
Thus, we can understand that the LCM of 405,553,890,869 is 438523470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 553, 890, 869
1. What is the LCM of 405, 553, 890, 869?
Answer: LCM of 405, 553, 890, 869 is 438523470.
2. How to calculate the LCM of 405, 553, 890, 869?
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 405, 553, 890, 869.
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}.