Given numbers are 378,408,682,753,811

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

The LCM of 378,408,682,753,811 is 1784225192904.

Find LCM of 378,408,682,753,811 with Prime Factorization

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

2 x 3 x 63 x 68 x 341 x 251 x 811 = 1784225192904

Therefore, the lowest common multiple of 378,408,682,753,811 is 1784225192904.

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.

378 x 408 x 682 x 753 x 811 = 64232106944544

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

682 : 1, 2, 11, 22, 31, 62, 341, 682

753 : 1, 3, 251, 753

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,408,682,753,811, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

408:2x 2x 2x 3x 17

682:2x 11x 31

753:3x 251

811:811

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 64232106944544/(1x36)

LCM = 64232106944544/36

LCM = 1784225192904

Thus, we can understand that the LCM of 378,408,682,753,811 is 1784225192904.

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

• LCM of 351, 871, 603, 243, 292
• LCM of 644, 166, 416, 496, 889
• LCM of 981, 860, 628, 480, 533
• LCM of 314, 169, 447, 576, 787
• LCM of 516, 733, 945, 494, 268

1. What is the LCM of 378, 408, 682, 753, 811?

Answer: LCM of 378, 408, 682, 753, 811 is 1784225192904.

2. How to calculate the LCM of 378, 408, 682, 753, 811?

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 378, 408, 682, 753, 811.

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}.