LCM of 168, 435, 457, 896, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 435, 457, 896, 899 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 168, 435, 457, 896, 899. So, keep reading to learn more.
Given numbers are 168,435,457,896,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,435,457,896,899 is 5521729920.
Find LCM of 168,435,457,896,899 with Prime Factorization
| 2 | 168, 435, 457, 896, 899 |
| 2 | 84, 435, 457, 448, 899 |
| 2 | 42, 435, 457, 224, 899 |
| 3 | 21, 435, 457, 112, 899 |
| 7 | 7, 145, 457, 112, 899 |
| 29 | 1, 145, 457, 16, 899 |
| 1, 5, 457, 16, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 29 x 1 x 5 x 457 x 16 x 31 = 5521729920
Therefore, the lowest common multiple of 168,435,457,896,899 is 5521729920.
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.
168 x 435 x 457 x 896 x 899 = 26901868170240
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
435 : 1, 3, 5, 15, 29, 87, 145, 435
457 : 1, 457
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,435,457,896,899, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
435:3x 5x 29
457:457
896:2x 2x 2x 2x 2x 2x 2x 7
899:29x 31
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 3x 7x 29 = 4872
Therefore, the value for common factors is 4872.
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 = 26901868170240/(1x4872)
LCM = 26901868170240/4872
LCM = 5521729920
Thus, we can understand that the LCM of 168,435,457,896,899 is 5521729920.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 168, 435, 457, 896, 899
1. What is the LCM of 168, 435, 457, 896, 899?
Answer: LCM of 168, 435, 457, 896, 899 is 5521729920.
2. How to calculate the LCM of 168, 435, 457, 896, 899?
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 168, 435, 457, 896, 899.
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}.