Given numbers are 408,110,836,924

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

The LCM of 408,110,836,924 is 2984520.

Find LCM of 408,110,836,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 34 x 5 x 19 x 7 = 2984520

Therefore, the lowest common multiple of 408,110,836,924 is 2984520.

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.

408 x 110 x 836 x 924 = 34668184320

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

110 : 1, 2, 5, 10, 11, 22, 55, 110

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,110,836,924, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

110:2x 5x 11

836:2x 2x 11x 19

924:2x 2x 3x 7x 11

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 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 34668184320/(2x5808)

LCM = 34668184320/11616

LCM = 2984520

Thus, we can understand that the LCM of 408,110,836,924 is 2984520.

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

• LCM of 478, 597, 739, 445
• LCM of 361, 167, 253, 725
• LCM of 847, 976, 554, 839
• LCM of 769, 552, 625, 339
• LCM of 199, 539, 601, 566

1. What is the LCM of 408, 110, 836, 924?

Answer: LCM of 408, 110, 836, 924 is 2984520.

2. How to calculate the LCM of 408, 110, 836, 924?

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 408, 110, 836, 924.

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}.