Given numbers are 468,698,407,406

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

The LCM of 468,698,407,406 is 13494653172.

Find LCM of 468,698,407,406 with Prime Factorization

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

2 x 234 x 349 x 407 x 203 = 13494653172

Therefore, the lowest common multiple of 468,698,407,406 is 13494653172.

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.

468 x 698 x 407 x 406 = 53978612688

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

698 : 1, 2, 349, 698

407 : 1, 11, 37, 407

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,698,407,406, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

698:2x 349

407:11x 37

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53978612688/(1x4)

LCM = 53978612688/4

LCM = 13494653172

Thus, we can understand that the LCM of 468,698,407,406 is 13494653172.

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

• LCM of 413, 842, 568, 493
• LCM of 654, 714, 796, 339
• LCM of 287, 154, 995, 503
• LCM of 345, 628, 128, 474
• LCM of 456, 300, 584, 442

1. What is the LCM of 468, 698, 407, 406?

Answer: LCM of 468, 698, 407, 406 is 13494653172.

2. How to calculate the LCM of 468, 698, 407, 406?

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 468, 698, 407, 406.

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}.