Given numbers are 560,116,566,457,338

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

The LCM of 560,116,566,457,338 is 354956689360.

Find LCM of 560,116,566,457,338 with Prime Factorization

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

2 x 2 x 140 x 29 x 283 x 457 x 169 = 354956689360

Therefore, the lowest common multiple of 560,116,566,457,338 is 354956689360.

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.

560 x 116 x 566 x 457 x 338 = 5679307029760

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

116 : 1, 2, 4, 29, 58, 116

566 : 1, 2, 283, 566

457 : 1, 457

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,116,566,457,338, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

116:2x 2x 29

566:2x 283

457:457

338:2x 13x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 5679307029760/(1x16)

LCM = 5679307029760/16

LCM = 354956689360

Thus, we can understand that the LCM of 560,116,566,457,338 is 354956689360.

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

• LCM of 222, 532, 413, 673, 405
• LCM of 267, 179, 409, 549, 257
• LCM of 254, 248, 965, 419, 362
• LCM of 356, 548, 813, 962, 738
• LCM of 348, 238, 234, 735, 277

1. What is the LCM of 560, 116, 566, 457, 338?

Answer: LCM of 560, 116, 566, 457, 338 is 354956689360.

2. How to calculate the LCM of 560, 116, 566, 457, 338?

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 560, 116, 566, 457, 338.

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}.