Given numbers are 496,566,416,388,574

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

The LCM of 496,566,416,388,574 is 101600323552.

Find LCM of 496,566,416,388,574 with Prime Factorization

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

2 x 2 x 2 x 2 x 31 x 283 x 26 x 97 x 287 = 101600323552

Therefore, the lowest common multiple of 496,566,416,388,574 is 101600323552.

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.

496 x 566 x 416 x 388 x 574 = 26009682829312

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

566 : 1, 2, 283, 566

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

388 : 1, 2, 4, 97, 194, 388

574 : 1, 2, 7, 14, 41, 82, 287, 574

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,566,416,388,574, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

566:2x 283

416:2x 2x 2x 2x 2x 13

388:2x 2x 97

574:2x 7x 41

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 2 = 128

Therefore, the value for common factors is 128.

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 = 26009682829312/(2x128)

LCM = 26009682829312/256

LCM = 101600323552

Thus, we can understand that the LCM of 496,566,416,388,574 is 101600323552.

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

• LCM of 109, 199, 510, 129, 424
• LCM of 621, 562, 842, 460, 950
• LCM of 155, 265, 338, 885, 588
• LCM of 522, 483, 917, 200, 799
• LCM of 435, 561, 227, 187, 783

1. What is the LCM of 496, 566, 416, 388, 574?

Answer: LCM of 496, 566, 416, 388, 574 is 101600323552.

2. How to calculate the LCM of 496, 566, 416, 388, 574?

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 496, 566, 416, 388, 574.

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}.