LCM of 405, 946, 242, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 946, 242, 144 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, 946, 242, 144. So, keep reading to learn more.
Given numbers are 405,946,242,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,946,242,144 is 33715440.
Find LCM of 405,946,242,144 with Prime Factorization
| 2 | 405, 946, 242, 144 |
| 3 | 405, 473, 121, 72 |
| 3 | 135, 473, 121, 24 |
| 11 | 45, 473, 121, 8 |
| 45, 43, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 45 x 43 x 11 x 8 = 33715440
Therefore, the lowest common multiple of 405,946,242,144 is 33715440.
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 946 x 242 x 144 = 13351314240
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
946 : 1, 2, 11, 22, 43, 86, 473, 946
242 : 1, 2, 11, 22, 121, 242
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,946,242,144, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
946:2x 11x 43
242:2x 11x 11
144:2x 2x 2x 2x 3x 3
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 13351314240/(1x396)
LCM = 13351314240/396
LCM = 33715440
Thus, we can understand that the LCM of 405,946,242,144 is 33715440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 946, 242, 144
1. What is the LCM of 405, 946, 242, 144?
Answer: LCM of 405, 946, 242, 144 is 33715440.
2. How to calculate the LCM of 405, 946, 242, 144?
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, 946, 242, 144.
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}.