Given numbers are 492,264,283,628,468

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

The LCM of 492,264,283,628,468 is 18755924616.

Find LCM of 492,264,283,628,468 with Prime Factorization

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

2 x 2 x 3 x 41 x 22 x 283 x 157 x 39 = 18755924616

Therefore, the lowest common multiple of 492,264,283,628,468 is 18755924616.

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.

492 x 264 x 283 x 628 x 468 = 10803412578816

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

283 : 1, 283

628 : 1, 2, 4, 157, 314, 628

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,264,283,628,468, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

264:2x 2x 2x 3x 11

283:283

628:2x 2x 157

468:2x 2x 3x 3x 13

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 10803412578816/(1x576)

LCM = 10803412578816/576

LCM = 18755924616

Thus, we can understand that the LCM of 492,264,283,628,468 is 18755924616.

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

• LCM of 931, 978, 411, 816, 955
• LCM of 500, 568, 749, 968, 685
• LCM of 428, 656, 604, 598, 670
• LCM of 577, 372, 807, 875, 567
• LCM of 532, 842, 187, 395, 535

1. What is the LCM of 492, 264, 283, 628, 468?

Answer: LCM of 492, 264, 283, 628, 468 is 18755924616.

2. How to calculate the LCM of 492, 264, 283, 628, 468?

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 492, 264, 283, 628, 468.

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}.