Given numbers are 364,494,366,427,429

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

The LCM of 364,494,366,427,429 is 13921908.

Find LCM of 364,494,366,427,429 with Prime Factorization

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

2 x 3 x 7 x 13 x 61 x 2 x 19 x 1 x 1 x 11 = 13921908

Therefore, the lowest common multiple of 364,494,366,427,429 is 13921908.

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.

364 x 494 x 366 x 427 x 429 = 12055759764048

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

494 : 1, 2, 13, 19, 26, 38, 247, 494

366 : 1, 2, 3, 6, 61, 122, 183, 366

427 : 1, 7, 61, 427

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,494,366,427,429, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

494:2x 13x 19

366:2x 3x 61

427:7x 61

429:3x 11x 13

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 7x 13x 13x 61 = 865956

Therefore, the value for common factors is 865956.

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 = 12055759764048/(1x865956)

LCM = 12055759764048/865956

LCM = 13921908

Thus, we can understand that the LCM of 364,494,366,427,429 is 13921908.

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

• LCM of 286, 738, 266, 165, 396
• LCM of 790, 695, 415, 611, 344
• LCM of 967, 882, 516, 336, 156
• LCM of 930, 167, 952, 798, 467
• LCM of 372, 247, 785, 532, 651

1. What is the LCM of 364, 494, 366, 427, 429?

Answer: LCM of 364, 494, 366, 427, 429 is 13921908.

2. How to calculate the LCM of 364, 494, 366, 427, 429?

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 364, 494, 366, 427, 429.

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}.