Given numbers are 408,363,197,121,864

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

The LCM of 408,363,197,121,864 is 350117856.

Find LCM of 408,363,197,121,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 11 x 17 x 1 x 197 x 1 x 36 = 350117856

Therefore, the lowest common multiple of 408,363,197,121,864 is 350117856.

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 363 x 197 x 121 x 864 = 3050226761472

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

363 : 1, 3, 11, 33, 121, 363

197 : 1, 197

121 : 1, 11, 121

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,363,197,121,864, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

363:3x 11x 11

197:197

121:11x 11

864:2x 2x 2x 2x 2x 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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 3050226761472/(1x8712)

LCM = 3050226761472/8712

LCM = 350117856

Thus, we can understand that the LCM of 408,363,197,121,864 is 350117856.

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

• LCM of 260, 734, 112, 140, 836
• LCM of 927, 127, 484, 801, 343
• LCM of 675, 417, 825, 797, 250
• LCM of 471, 367, 705, 527, 272
• LCM of 516, 309, 492, 211, 991

1. What is the LCM of 408, 363, 197, 121, 864?

Answer: LCM of 408, 363, 197, 121, 864 is 350117856.

2. How to calculate the LCM of 408, 363, 197, 121, 864?

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, 363, 197, 121, 864.

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}.