Given numbers are 364,494,103,949

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

The LCM of 364,494,103,949 is 52001404.

Find LCM of 364,494,103,949 with Prime Factorization

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

2 x 13 x 14 x 19 x 103 x 73 = 52001404

Therefore, the lowest common multiple of 364,494,103,949 is 52001404.

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 103 x 949 = 17576474552

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

103 : 1, 103

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,494,103,949, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

494:2x 13x 19

103:103

949:13x 73

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 17576474552/(1x338)

LCM = 17576474552/338

LCM = 52001404

Thus, we can understand that the LCM of 364,494,103,949 is 52001404.

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

• LCM of 406, 339, 727, 275
• LCM of 825, 308, 223, 805
• LCM of 317, 220, 910, 531
• LCM of 860, 504, 923, 599
• LCM of 755, 225, 710, 385

1. What is the LCM of 364, 494, 103, 949?

Answer: LCM of 364, 494, 103, 949 is 52001404.

2. How to calculate the LCM of 364, 494, 103, 949?

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, 103, 949.

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}.