Given numbers are 478,518,268,462,460

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

The LCM of 478,518,268,462,460 is 62957031060.

Find LCM of 478,518,268,462,460 with Prime Factorization

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

2 x 2 x 7 x 239 x 37 x 67 x 33 x 115 = 62957031060

Therefore, the lowest common multiple of 478,518,268,462,460 is 62957031060.

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.

478 x 518 x 268 x 462 x 460 = 14102374957440

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.

478 : 1, 2, 239, 478

518 : 1, 2, 7, 14, 37, 74, 259, 518

268 : 1, 2, 4, 67, 134, 268

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 478,518,268,462,460, is 2.

Now, the common factors can be found like this.

478:2x 239

518:2x 7x 37

268:2x 2x 67

462:2x 3x 7x 11

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 7 = 112

Therefore, the value for common factors is 112.

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 = 14102374957440/(2x112)

LCM = 14102374957440/224

LCM = 62957031060

Thus, we can understand that the LCM of 478,518,268,462,460 is 62957031060.

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

• LCM of 499, 994, 101, 173, 657
• LCM of 786, 929, 318, 210, 982
• LCM of 447, 240, 933, 482, 810
• LCM of 619, 678, 276, 426, 998
• LCM of 397, 963, 488, 170, 838

1. What is the LCM of 478, 518, 268, 462, 460?

Answer: LCM of 478, 518, 268, 462, 460 is 62957031060.

2. How to calculate the LCM of 478, 518, 268, 462, 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 478, 518, 268, 462, 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}.