Find the LCM of 409, 646, 704, 638, 354 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, 646, 704, 638, 354. So, keep reading to learn more.
Given numbers are 409,646,704,638,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,646,704,638,354 is 477386082624.
Find LCM of 409,646,704,638,354 with Prime Factorization
2 | 409, 646, 704, 638, 354 |
11 | 409, 323, 352, 319, 177 |
409, 323, 32, 29, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 409 x 323 x 32 x 29 x 177 = 477386082624
Therefore, the lowest common multiple of 409,646,704,638,354 is 477386082624.
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 646 x 704 x 638 x 354 = 42009975270912
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
638 : 1, 2, 11, 22, 29, 58, 319, 638
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,646,704,638,354, is 1.
Now, the common factors can be found like this.
409:409
646:2x 17x 19
704:2x 2x 2x 2x 2x 2x 11
638:2x 11x 29
354:2x 3x 59
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 11 = 88
Therefore, the value for common factors is 88.
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 = 42009975270912/(1x88)
LCM = 42009975270912/88
LCM = 477386082624
Thus, we can understand that the LCM of 409,646,704,638,354 is 477386082624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 409, 646, 704, 638, 354?
Answer: LCM of 409, 646, 704, 638, 354 is 477386082624.
2. How to calculate the LCM of 409, 646, 704, 638, 354?
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, 646, 704, 638, 354.
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}.