Given numbers are 400,441,679,684,324

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

The LCM of 400,441,679,684,324 is 2925946800.

Find LCM of 400,441,679,684,324 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 100 x 7 x 97 x 19 x 9 = 2925946800

Therefore, the lowest common multiple of 400,441,679,684,324 is 2925946800.

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.

400 x 441 x 679 x 684 x 324 = 26544189369600

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

679 : 1, 7, 97, 679

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,441,679,684,324, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

441:3x 3x 7x 7

679:7x 97

684:2x 2x 3x 3x 19

324:2x 2x 3x 3x 3x 3

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 3x 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 26544189369600/(1x9072)

LCM = 26544189369600/9072

LCM = 2925946800

Thus, we can understand that the LCM of 400,441,679,684,324 is 2925946800.

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

• LCM of 493, 211, 893, 970, 450
• LCM of 657, 654, 498, 904, 940
• LCM of 866, 137, 105, 429, 638
• LCM of 692, 474, 820, 595, 532
• LCM of 446, 898, 842, 364, 161

1. What is the LCM of 400, 441, 679, 684, 324?

Answer: LCM of 400, 441, 679, 684, 324 is 2925946800.

2. How to calculate the LCM of 400, 441, 679, 684, 324?

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 400, 441, 679, 684, 324.

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}.