Given numbers are 470,219,476,326,408

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 470,219,476,326,408 is 7986132840.

Find LCM of 470,219,476,326,408 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 17 x 235 x 73 x 7 x 163 x 2 = 7986132840

Therefore, the lowest common multiple of 470,219,476,326,408 is 7986132840.

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.

470 x 219 x 476 x 326 x 408 = 6516684397440

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

219 : 1, 3, 73, 219

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

326 : 1, 2, 163, 326

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,219,476,326,408, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

219:3x 73

476:2x 2x 7x 17

326:2x 163

408:2x 2x 2x 3x 17

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 17 = 816

Therefore, the value for common factors is 816.

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 = 6516684397440/(1x816)

LCM = 6516684397440/816

LCM = 7986132840

Thus, we can understand that the LCM of 470,219,476,326,408 is 7986132840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 574, 660, 188, 476, 282
• LCM of 283, 655, 112, 961, 827
• LCM of 429, 411, 246, 578, 297
• LCM of 648, 498, 826, 386, 255
• LCM of 109, 887, 236, 732, 347

1. What is the LCM of 470, 219, 476, 326, 408?

Answer: LCM of 470, 219, 476, 326, 408 is 7986132840.

2. How to calculate the LCM of 470, 219, 476, 326, 408?

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 470, 219, 476, 326, 408.

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}.