Given numbers are 409,230,336,416,460

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

The LCM of 409,230,336,416,460 is 410897760.

Find LCM of 409,230,336,416,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 23 x 409 x 1 x 21 x 26 x 1 = 410897760

Therefore, the lowest common multiple of 409,230,336,416,460 is 410897760.

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 230 x 336 x 416 x 460 = 6048415027200

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,230,336,416,460, is 1.

Now, the common factors can be found like this.

409:409

230:2x 5x 23

336:2x 2x 2x 2x 3x 7

416:2x 2x 2x 2x 2x 13

460:2x 2x 5x 23

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 2x 2x 2x 5x 23 = 14720

Therefore, the value for common factors is 14720.

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 = 6048415027200/(1x14720)

LCM = 6048415027200/14720

LCM = 410897760

Thus, we can understand that the LCM of 409,230,336,416,460 is 410897760.

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

• LCM of 270, 246, 339, 593, 441
• LCM of 947, 797, 384, 862, 358
• LCM of 258, 301, 329, 728, 890
• LCM of 868, 625, 916, 529, 460
• LCM of 160, 556, 837, 480, 650

1. What is the LCM of 409, 230, 336, 416, 460?

Answer: LCM of 409, 230, 336, 416, 460 is 410897760.

2. How to calculate the LCM of 409, 230, 336, 416, 460?

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, 230, 336, 416, 460.

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}.