Given numbers are 400,478,534,240,460

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

The LCM of 400,478,534,240,460 is 587079600.

Find LCM of 400,478,534,240,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 1 x 239 x 89 x 5 x 23 = 587079600

Therefore, the lowest common multiple of 400,478,534,240,460 is 587079600.

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.

400 x 478 x 534 x 240 x 460 = 11271928320000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

478 : 1, 2, 239, 478

534 : 1, 2, 3, 6, 89, 178, 267, 534

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,478,534,240,460, is 2.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

478:2x 239

534:2x 3x 89

240:2x 2x 2x 2x 3x 5

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 3x 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 11271928320000/(2x9600)

LCM = 11271928320000/19200

LCM = 587079600

Thus, we can understand that the LCM of 400,478,534,240,460 is 587079600.

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

• LCM of 956, 316, 208, 911, 823
• LCM of 146, 505, 327, 357, 410
• LCM of 404, 736, 983, 613, 960
• LCM of 630, 166, 371, 980, 118
• LCM of 654, 979, 788, 665, 399

1. What is the LCM of 400, 478, 534, 240, 460?

Answer: LCM of 400, 478, 534, 240, 460 is 587079600.

2. How to calculate the LCM of 400, 478, 534, 240, 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 400, 478, 534, 240, 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}.