Given numbers are 340,484,406,924,642

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

The LCM of 340,484,406,924,642 is 2680805820.

Find LCM of 340,484,406,924,642 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 85 x 1 x 29 x 11 x 107 = 2680805820

Therefore, the lowest common multiple of 340,484,406,924,642 is 2680805820.

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.

340 x 484 x 406 x 924 x 642 = 39633033242880

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

642 : 1, 2, 3, 6, 107, 214, 321, 642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,484,406,924,642, is 2.

Now, the common factors can be found like this.

340:2x 2x 5x 17

484:2x 2x 11x 11

406:2x 7x 29

924:2x 2x 3x 7x 11

642:2x 3x 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 2x 3x 7x 11 = 7392

Therefore, the value for common factors is 7392.

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 = 39633033242880/(2x7392)

LCM = 39633033242880/14784

LCM = 2680805820

Thus, we can understand that the LCM of 340,484,406,924,642 is 2680805820.

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

• LCM of 719, 292, 640, 525, 335
• LCM of 755, 884, 136, 830, 335
• LCM of 286, 374, 114, 207, 364
• LCM of 504, 553, 901, 501, 666
• LCM of 806, 315, 524, 529, 466

1. What is the LCM of 340, 484, 406, 924, 642?

Answer: LCM of 340, 484, 406, 924, 642 is 2680805820.

2. How to calculate the LCM of 340, 484, 406, 924, 642?

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 340, 484, 406, 924, 642.

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}.