Given numbers are 576,610,552,385,283

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

The LCM of 576,610,552,385,283 is 88049586240.

Find LCM of 576,610,552,385,283 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 24 x 61 x 23 x 77 x 283 = 88049586240

Therefore, the lowest common multiple of 576,610,552,385,283 is 88049586240.

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.

576 x 610 x 552 x 385 x 283 = 21131900697600

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

610 : 1, 2, 5, 10, 61, 122, 305, 610

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

385 : 1, 5, 7, 11, 35, 55, 77, 385

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,610,552,385,283, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

610:2x 5x 61

552:2x 2x 2x 3x 23

385:5x 7x 11

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 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 21131900697600/(1x240)

LCM = 21131900697600/240

LCM = 88049586240

Thus, we can understand that the LCM of 576,610,552,385,283 is 88049586240.

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

• LCM of 819, 338, 301, 158, 427
• LCM of 299, 913, 322, 863, 579
• LCM of 983, 195, 704, 223, 669
• LCM of 794, 940, 328, 484, 409
• LCM of 678, 707, 713, 681, 629

1. What is the LCM of 576, 610, 552, 385, 283?

Answer: LCM of 576, 610, 552, 385, 283 is 88049586240.

2. How to calculate the LCM of 576, 610, 552, 385, 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 576, 610, 552, 385, 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}.