Given numbers are 368,403,413,372,456

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

The LCM of 368,403,413,372,456 is 3491224464.

Find LCM of 368,403,413,372,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 46 x 13 x 413 x 1 x 19 = 3491224464

Therefore, the lowest common multiple of 368,403,413,372,456 is 3491224464.

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.

368 x 403 x 413 x 372 x 456 = 10389884004864

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

403 : 1, 13, 31, 403

413 : 1, 7, 59, 413

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,403,413,372,456, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

403:13x 31

413:7x 59

372:2x 2x 3x 31

456:2x 2x 2x 3x 19

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 31 = 2976

Therefore, the value for common factors is 2976.

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 = 10389884004864/(1x2976)

LCM = 10389884004864/2976

LCM = 3491224464

Thus, we can understand that the LCM of 368,403,413,372,456 is 3491224464.

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

• LCM of 940, 432, 654, 285, 996
• LCM of 610, 390, 976, 872, 873
• LCM of 560, 462, 468, 322, 946
• LCM of 232, 114, 654, 311, 372
• LCM of 515, 670, 641, 541, 959

1. What is the LCM of 368, 403, 413, 372, 456?

Answer: LCM of 368, 403, 413, 372, 456 is 3491224464.

2. How to calculate the LCM of 368, 403, 413, 372, 456?

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 368, 403, 413, 372, 456.

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}.