Given numbers are 460,188,328,440,296

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

The LCM of 460,188,328,440,296 is 721545880.

Find LCM of 460,188,328,440,296 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 47 x 41 x 11 x 37 = 721545880

Therefore, the lowest common multiple of 460,188,328,440,296 is 721545880.

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.

460 x 188 x 328 x 440 x 296 = 3694314905600

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.

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

188 : 1, 2, 4, 47, 94, 188

328 : 1, 2, 4, 8, 41, 82, 164, 328

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

296 : 1, 2, 4, 8, 37, 74, 148, 296

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,188,328,440,296, is 4.

Now, the common factors can be found like this.

460:2x 2x 5x 23

188:2x 2x 47

328:2x 2x 2x 41

440:2x 2x 2x 5x 11

296:2x 2x 2x 37

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 2x 5 = 1280

Therefore, the value for common factors is 1280.

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 = 3694314905600/(4x1280)

LCM = 3694314905600/5120

LCM = 721545880

Thus, we can understand that the LCM of 460,188,328,440,296 is 721545880.

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

• LCM of 478, 149, 102, 399, 453
• LCM of 157, 180, 320, 411, 529
• LCM of 762, 474, 895, 921, 355
• LCM of 764, 367, 187, 366, 148
• LCM of 574, 425, 376, 859, 877

1. What is the LCM of 460, 188, 328, 440, 296?

Answer: LCM of 460, 188, 328, 440, 296 is 721545880.

2. How to calculate the LCM of 460, 188, 328, 440, 296?

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 460, 188, 328, 440, 296.

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}.