Given numbers are 400,874,121,324,454

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

The LCM of 400,874,121,324,454 is 388899759600.

Find LCM of 400,874,121,324,454 with Prime Factorization

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

2 x 2 x 100 x 437 x 121 x 81 x 227 = 388899759600

Therefore, the lowest common multiple of 400,874,121,324,454 is 388899759600.

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 874 x 121 x 324 x 454 = 6222396153600

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

121 : 1, 11, 121

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

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,874,121,324,454, is 1.

Now, the common factors can be found like this.

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

874:2x 19x 23

121:11x 11

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

454:2x 227

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6222396153600/(1x16)

LCM = 6222396153600/16

LCM = 388899759600

Thus, we can understand that the LCM of 400,874,121,324,454 is 388899759600.

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

• LCM of 902, 761, 344, 589, 242
• LCM of 120, 973, 486, 243, 770
• LCM of 679, 454, 952, 242, 533
• LCM of 673, 311, 551, 422, 585
• LCM of 960, 914, 808, 253, 509

1. What is the LCM of 400, 874, 121, 324, 454?

Answer: LCM of 400, 874, 121, 324, 454 is 388899759600.

2. How to calculate the LCM of 400, 874, 121, 324, 454?

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, 874, 121, 324, 454.

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}.