Given numbers are 464,756,266,287,283

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

The LCM of 464,756,266,287,283 is 19333197072.

Find LCM of 464,756,266,287,283 with Prime Factorization

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

2 x 2 x 7 x 116 x 27 x 19 x 41 x 283 = 19333197072

Therefore, the lowest common multiple of 464,756,266,287,283 is 19333197072.

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.

464 x 756 x 266 x 287 x 283 = 7578613252224

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

266 : 1, 2, 7, 14, 19, 38, 133, 266

287 : 1, 7, 41, 287

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,756,266,287,283, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

756:2x 2x 3x 3x 3x 7

266:2x 7x 19

287:7x 41

283:283

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 7578613252224/(1x392)

LCM = 7578613252224/392

LCM = 19333197072

Thus, we can understand that the LCM of 464,756,266,287,283 is 19333197072.

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

• LCM of 723, 872, 667, 102, 137
• LCM of 344, 434, 496, 249, 650
• LCM of 231, 198, 238, 359, 843
• LCM of 428, 733, 266, 263, 224
• LCM of 617, 797, 683, 315, 964

1. What is the LCM of 464, 756, 266, 287, 283?

Answer: LCM of 464, 756, 266, 287, 283 is 19333197072.

2. How to calculate the LCM of 464, 756, 266, 287, 283?

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 464, 756, 266, 287, 283.

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}.