LCM of 649, 408, 246, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 408, 246, 288 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 649, 408, 246, 288. So, keep reading to learn more.
Given numbers are 649,408,246,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,408,246,288 is 130277664.
Find LCM of 649,408,246,288 with Prime Factorization
| 2 | 649, 408, 246, 288 |
| 2 | 649, 204, 123, 144 |
| 2 | 649, 102, 123, 72 |
| 3 | 649, 51, 123, 36 |
| 649, 17, 41, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 649 x 17 x 41 x 12 = 130277664
Therefore, the lowest common multiple of 649,408,246,288 is 130277664.
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.
649 x 408 x 246 x 288 = 18759983616
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.
649 : 1, 11, 59, 649
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
246 : 1, 2, 3, 6, 41, 82, 123, 246
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,408,246,288, is 1.
Now, the common factors can be found like this.
649:11x 59
408:2x 2x 2x 3x 17
246:2x 3x 41
288:2x 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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 18759983616/(1x144)
LCM = 18759983616/144
LCM = 130277664
Thus, we can understand that the LCM of 649,408,246,288 is 130277664.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 408, 246, 288
1. What is the LCM of 649, 408, 246, 288?
Answer: LCM of 649, 408, 246, 288 is 130277664.
2. How to calculate the LCM of 649, 408, 246, 288?
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 649, 408, 246, 288.
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}.