Given numbers are 427,331,395,480,460

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

The LCM of 427,331,395,480,460 is 123268477920.

Find LCM of 427,331,395,480,460 with Prime Factorization

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

2 x 2 x 5 x 427 x 331 x 79 x 24 x 23 = 123268477920

Therefore, the lowest common multiple of 427,331,395,480,460 is 123268477920.

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.

427 x 331 x 395 x 480 x 460 = 12326847792000

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.

427 : 1, 7, 61, 427

331 : 1, 331

395 : 1, 5, 79, 395

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 427,331,395,480,460, is 1.

Now, the common factors can be found like this.

427:7x 61

331:331

395:5x 79

480:2x 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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 12326847792000/(1x100)

LCM = 12326847792000/100

LCM = 123268477920

Thus, we can understand that the LCM of 427,331,395,480,460 is 123268477920.

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

• LCM of 472, 405, 651, 853, 172
• LCM of 749, 139, 206, 176, 944
• LCM of 814, 854, 851, 964, 728
• LCM of 812, 781, 555, 651, 883
• LCM of 442, 879, 232, 488, 659

1. What is the LCM of 427, 331, 395, 480, 460?

Answer: LCM of 427, 331, 395, 480, 460 is 123268477920.

2. How to calculate the LCM of 427, 331, 395, 480, 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 427, 331, 395, 480, 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}.