LCM of 409, 555, 448, 962, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 555, 448, 962, 638 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 409, 555, 448, 962, 638. So, keep reading to learn more.
Given numbers are 409,555,448,962,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,555,448,962,638 is 421724022720.
Find LCM of 409,555,448,962,638 with Prime Factorization
| 2 | 409, 555, 448, 962, 638 |
| 37 | 409, 555, 224, 481, 319 |
| 409, 15, 224, 13, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 409 x 15 x 224 x 13 x 319 = 421724022720
Therefore, the lowest common multiple of 409,555,448,962,638 is 421724022720.
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.
409 x 555 x 448 x 962 x 638 = 62415155362560
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.
409 : 1, 409
555 : 1, 3, 5, 15, 37, 111, 185, 555
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
962 : 1, 2, 13, 26, 37, 74, 481, 962
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,555,448,962,638, is 1.
Now, the common factors can be found like this.
409:409
555:3x 5x 37
448:2x 2x 2x 2x 2x 2x 7
962:2x 13x 37
638:2x 11x 29
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 37 = 148
Therefore, the value for common factors is 148.
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 = 62415155362560/(1x148)
LCM = 62415155362560/148
LCM = 421724022720
Thus, we can understand that the LCM of 409,555,448,962,638 is 421724022720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 555, 448, 962, 638
1. What is the LCM of 409, 555, 448, 962, 638?
Answer: LCM of 409, 555, 448, 962, 638 is 421724022720.
2. How to calculate the LCM of 409, 555, 448, 962, 638?
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 409, 555, 448, 962, 638.
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}.