Given numbers are 345,831,368,207,506

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

The LCM of 345,831,368,207,506 is 50458320.

Find LCM of 345,831,368,207,506 with Prime Factorization

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

2 x 3 x 23 x 5 x 277 x 8 x 3 x 11 = 50458320

Therefore, the lowest common multiple of 345,831,368,207,506 is 50458320.

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.

345 x 831 x 368 x 207 x 506 = 11050674829920

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

831 : 1, 3, 277, 831

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

207 : 1, 3, 9, 23, 69, 207

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,831,368,207,506, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

831:3x 277

368:2x 2x 2x 2x 23

207:3x 3x 23

506:2x 11x 23

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

2x 3x 3x 23x 23x 23 = 219006

Therefore, the value for common factors is 219006.

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 = 11050674829920/(1x219006)

LCM = 11050674829920/219006

LCM = 50458320

Thus, we can understand that the LCM of 345,831,368,207,506 is 50458320.

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

• LCM of 746, 418, 723, 610, 227
• LCM of 387, 365, 833, 695, 948
• LCM of 573, 597, 852, 442, 291
• LCM of 660, 899, 448, 211, 157
• LCM of 476, 400, 592, 672, 463

1. What is the LCM of 345, 831, 368, 207, 506?

Answer: LCM of 345, 831, 368, 207, 506 is 50458320.

2. How to calculate the LCM of 345, 831, 368, 207, 506?

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 345, 831, 368, 207, 506.

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}.