Given numbers are 674,406,468,447,206

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

The LCM of 674,406,468,447,206 is 491354892756.

Find LCM of 674,406,468,447,206 with Prime Factorization

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

2 x 3 x 337 x 203 x 78 x 149 x 103 = 491354892756

Therefore, the lowest common multiple of 674,406,468,447,206 is 491354892756.

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.

674 x 406 x 468 x 447 x 206 = 11792517426144

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.

674 : 1, 2, 337, 674

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

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

447 : 1, 3, 149, 447

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,406,468,447,206, is 1.

Now, the common factors can be found like this.

674:2x 337

406:2x 7x 29

468:2x 2x 3x 3x 13

447:3x 149

206:2x 103

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11792517426144/(1x24)

LCM = 11792517426144/24

LCM = 491354892756

Thus, we can understand that the LCM of 674,406,468,447,206 is 491354892756.

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

• LCM of 290, 594, 786, 465, 696
• LCM of 549, 139, 270, 364, 366
• LCM of 227, 700, 293, 912, 102
• LCM of 866, 540, 602, 852, 231
• LCM of 309, 968, 510, 535, 584

1. What is the LCM of 674, 406, 468, 447, 206?

Answer: LCM of 674, 406, 468, 447, 206 is 491354892756.

2. How to calculate the LCM of 674, 406, 468, 447, 206?

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 674, 406, 468, 447, 206.

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}.