LCM of 405, 428, 162, 667, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 428, 162, 667, 947 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, 428, 162, 667, 947. So, keep reading to learn more.
Given numbers are 405,428,162,667,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,428,162,667,947 is 109490037660.
Find LCM of 405,428,162,667,947 with Prime Factorization
| 2 | 405, 428, 162, 667, 947 |
| 3 | 405, 214, 81, 667, 947 |
| 3 | 135, 214, 27, 667, 947 |
| 3 | 45, 214, 9, 667, 947 |
| 3 | 15, 214, 3, 667, 947 |
| 5, 214, 1, 667, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 5 x 214 x 1 x 667 x 947 = 109490037660
Therefore, the lowest common multiple of 405,428,162,667,947 is 109490037660.
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 428 x 162 x 667 x 947 = 17737386100920
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
428 : 1, 2, 4, 107, 214, 428
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
667 : 1, 23, 29, 667
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,428,162,667,947, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
428:2x 2x 107
162:2x 3x 3x 3x 3
667:23x 29
947:947
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 3 = 162
Therefore, the value for common factors is 162.
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 = 17737386100920/(1x162)
LCM = 17737386100920/162
LCM = 109490037660
Thus, we can understand that the LCM of 405,428,162,667,947 is 109490037660.
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FAQs on LCM of 405, 428, 162, 667, 947
1. What is the LCM of 405, 428, 162, 667, 947?
Answer: LCM of 405, 428, 162, 667, 947 is 109490037660.
2. How to calculate the LCM of 405, 428, 162, 667, 947?
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, 428, 162, 667, 947.
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}.