Given numbers are 204,698,343,689,524

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

The LCM of 204,698,343,689,524 is 2204145359052.

Find LCM of 204,698,343,689,524 with Prime Factorization

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

2 x 2 x 51 x 349 x 343 x 689 x 131 = 2204145359052

Therefore, the lowest common multiple of 204,698,343,689,524 is 2204145359052.

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.

204 x 698 x 343 x 689 x 524 = 17633162872416

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

698 : 1, 2, 349, 698

343 : 1, 7, 49, 343

689 : 1, 13, 53, 689

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,698,343,689,524, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

698:2x 349

343:7x 7x 7

689:13x 53

524:2x 2x 131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17633162872416/(1x8)

LCM = 17633162872416/8

LCM = 2204145359052

Thus, we can understand that the LCM of 204,698,343,689,524 is 2204145359052.

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

• LCM of 227, 522, 316, 639, 706
• LCM of 363, 202, 863, 780, 670
• LCM of 173, 475, 155, 100, 838
• LCM of 579, 658, 404, 194, 178
• LCM of 154, 464, 686, 215, 401

1. What is the LCM of 204, 698, 343, 689, 524?

Answer: LCM of 204, 698, 343, 689, 524 is 2204145359052.

2. How to calculate the LCM of 204, 698, 343, 689, 524?

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 204, 698, 343, 689, 524.

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}.