Given numbers are 406,840,717,294,993

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

The LCM of 406,840,717,294,993 is 13489666680.

Find LCM of 406,840,717,294,993 with Prime Factorization

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

2 x 3 x 7 x 29 x 20 x 239 x 7 x 331 = 13489666680

Therefore, the lowest common multiple of 406,840,717,294,993 is 13489666680.

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.

406 x 840 x 717 x 294 x 993 = 71387316070560

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.

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

717 : 1, 3, 239, 717

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,840,717,294,993, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

840:2x 2x 2x 3x 5x 7

717:3x 239

294:2x 3x 7x 7

993:3x 331

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 3x 3x 3x 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 71387316070560/(1x5292)

LCM = 71387316070560/5292

LCM = 13489666680

Thus, we can understand that the LCM of 406,840,717,294,993 is 13489666680.

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

• LCM of 377, 314, 265, 157, 286
• LCM of 233, 656, 493, 824, 235
• LCM of 736, 265, 848, 657, 262
• LCM of 199, 414, 916, 732, 147
• LCM of 241, 289, 452, 675, 281

1. What is the LCM of 406, 840, 717, 294, 993?

Answer: LCM of 406, 840, 717, 294, 993 is 13489666680.

2. How to calculate the LCM of 406, 840, 717, 294, 993?

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 406, 840, 717, 294, 993.

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}.