Given numbers are 408,645,138,251,372

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

The LCM of 408,645,138,251,372 is 15698634360.

Find LCM of 408,645,138,251,372 with Prime Factorization

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

2 x 2 x 3 x 34 x 215 x 23 x 251 x 31 = 15698634360

Therefore, the lowest common multiple of 408,645,138,251,372 is 15698634360.

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 645 x 138 x 251 x 372 = 3390905021760

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

645 : 1, 3, 5, 15, 43, 129, 215, 645

138 : 1, 2, 3, 6, 23, 46, 69, 138

251 : 1, 251

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,645,138,251,372, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

645:3x 5x 43

138:2x 3x 23

251:251

372:2x 2x 3x 31

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 3 = 216

Therefore, the value for common factors is 216.

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 = 3390905021760/(1x216)

LCM = 3390905021760/216

LCM = 15698634360

Thus, we can understand that the LCM of 408,645,138,251,372 is 15698634360.

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

• LCM of 297, 923, 189, 884, 518
• LCM of 189, 669, 573, 403, 704
• LCM of 285, 208, 964, 678, 232
• LCM of 973, 204, 532, 290, 278
• LCM of 269, 706, 200, 354, 191

1. What is the LCM of 408, 645, 138, 251, 372?

Answer: LCM of 408, 645, 138, 251, 372 is 15698634360.

2. How to calculate the LCM of 408, 645, 138, 251, 372?

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, 645, 138, 251, 372.

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}.