Given numbers are 608,646,675,201,588

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

The LCM of 608,646,675,201,588 is 22904834400.

Find LCM of 608,646,675,201,588 with Prime Factorization

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

2 x 2 x 3 x 19 x 8 x 17 x 225 x 67 x 49 = 22904834400

Therefore, the lowest common multiple of 608,646,675,201,588 is 22904834400.

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.

608 x 646 x 675 x 201 x 588 = 31333813459200

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

646 : 1, 2, 17, 19, 34, 38, 323, 646

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

201 : 1, 3, 67, 201

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,646,675,201,588, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

646:2x 17x 19

675:3x 3x 3x 5x 5

201:3x 67

588:2x 2x 3x 7x 7

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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 31333813459200/(1x1368)

LCM = 31333813459200/1368

LCM = 22904834400

Thus, we can understand that the LCM of 608,646,675,201,588 is 22904834400.

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

• LCM of 882, 796, 711, 893, 274
• LCM of 790, 835, 466, 680, 806
• LCM of 905, 475, 801, 147, 576
• LCM of 783, 296, 653, 776, 839
• LCM of 586, 965, 130, 539, 351

1. What is the LCM of 608, 646, 675, 201, 588?

Answer: LCM of 608, 646, 675, 201, 588 is 22904834400.

2. How to calculate the LCM of 608, 646, 675, 201, 588?

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 608, 646, 675, 201, 588.

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}.