LCM of 441, 960, 642, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 960, 642, 648 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 441, 960, 642, 648. So, keep reading to learn more.
Given numbers are 441,960,642,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,960,642,648 is 135898560.
Find LCM of 441,960,642,648 with Prime Factorization
| 2 | 441, 960, 642, 648 |
| 2 | 441, 480, 321, 324 |
| 2 | 441, 240, 321, 162 |
| 3 | 441, 120, 321, 81 |
| 3 | 147, 40, 107, 27 |
| 49, 40, 107, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 49 x 40 x 107 x 9 = 135898560
Therefore, the lowest common multiple of 441,960,642,648 is 135898560.
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.
441 x 960 x 642 x 648 = 176124533760
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
642 : 1, 2, 3, 6, 107, 214, 321, 642
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,960,642,648, is 3.
Now, the common factors can be found like this.
441:3x 3x 7x 7
960:2x 2x 2x 2x 2x 2x 3x 5
642:2x 3x 107
648:2x 2x 2x 3x 3x 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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 176124533760/(3x432)
LCM = 176124533760/1296
LCM = 135898560
Thus, we can understand that the LCM of 441,960,642,648 is 135898560.
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FAQs on LCM of 441, 960, 642, 648
1. What is the LCM of 441, 960, 642, 648?
Answer: LCM of 441, 960, 642, 648 is 135898560.
2. How to calculate the LCM of 441, 960, 642, 648?
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 441, 960, 642, 648.
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}.