Given numbers are 759,138,417,327,498

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

The LCM of 759,138,417,327,498 is 1908935094.

Find LCM of 759,138,417,327,498 with Prime Factorization

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

2 x 3 x 23 x 11 x 1 x 139 x 109 x 83 = 1908935094

Therefore, the lowest common multiple of 759,138,417,327,498 is 1908935094.

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.

759 x 138 x 417 x 327 x 498 = 7112692160244

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

417 : 1, 3, 139, 417

327 : 1, 3, 109, 327

498 : 1, 2, 3, 6, 83, 166, 249, 498

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,138,417,327,498, is 3.

Now, the common factors can be found like this.

759:3x 11x 23

138:2x 3x 23

417:3x 139

327:3x 109

498:2x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 23 = 1242

Therefore, the value for common factors is 1242.

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 = 7112692160244/(3x1242)

LCM = 7112692160244/3726

LCM = 1908935094

Thus, we can understand that the LCM of 759,138,417,327,498 is 1908935094.

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

• LCM of 869, 471, 304, 371, 922
• LCM of 793, 885, 302, 977, 571
• LCM of 738, 168, 792, 158, 383
• LCM of 786, 753, 468, 973, 811
• LCM of 574, 200, 150, 154, 702

1. What is the LCM of 759, 138, 417, 327, 498?

Answer: LCM of 759, 138, 417, 327, 498 is 1908935094.

2. How to calculate the LCM of 759, 138, 417, 327, 498?

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 759, 138, 417, 327, 498.

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}.