Given numbers are 698,736,214,259,428

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

The LCM of 698,736,214,259,428 is 7118472032.

Find LCM of 698,736,214,259,428 with Prime Factorization

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

2 x 2 x 107 x 349 x 184 x 1 x 259 x 1 = 7118472032

Therefore, the lowest common multiple of 698,736,214,259,428 is 7118472032.

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.

698 x 736 x 214 x 259 x 428 = 12186824118784

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.

698 : 1, 2, 349, 698

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

214 : 1, 2, 107, 214

259 : 1, 7, 37, 259

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,736,214,259,428, is 1.

Now, the common factors can be found like this.

698:2x 349

736:2x 2x 2x 2x 2x 23

214:2x 107

259:7x 37

428:2x 2x 107

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 107 = 1712

Therefore, the value for common factors is 1712.

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 = 12186824118784/(1x1712)

LCM = 12186824118784/1712

LCM = 7118472032

Thus, we can understand that the LCM of 698,736,214,259,428 is 7118472032.

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

• LCM of 551, 909, 618, 444, 895
• LCM of 684, 312, 412, 130, 251
• LCM of 697, 282, 261, 474, 517
• LCM of 585, 445, 156, 793, 465
• LCM of 501, 700, 695, 362, 489

1. What is the LCM of 698, 736, 214, 259, 428?

Answer: LCM of 698, 736, 214, 259, 428 is 7118472032.

2. How to calculate the LCM of 698, 736, 214, 259, 428?

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 698, 736, 214, 259, 428.

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}.