Given numbers are 361,646,283,429,460

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

The LCM of 361,646,283,429,460 is 342734389140.

Find LCM of 361,646,283,429,460 with Prime Factorization

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

2 x 19 x 19 x 17 x 283 x 429 x 230 = 342734389140

Therefore, the lowest common multiple of 361,646,283,429,460 is 342734389140.

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.

361 x 646 x 283 x 429 x 460 = 13023906787320

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.

361 : 1, 19, 361

646 : 1, 2, 17, 19, 34, 38, 323, 646

283 : 1, 283

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,646,283,429,460, is 1.

Now, the common factors can be found like this.

361:19x 19

646:2x 17x 19

283:283

429:3x 11x 13

460:2x 2x 5x 23

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 13023906787320/(1x38)

LCM = 13023906787320/38

LCM = 342734389140

Thus, we can understand that the LCM of 361,646,283,429,460 is 342734389140.

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

• LCM of 719, 884, 671, 949, 575
• LCM of 600, 989, 204, 148, 429
• LCM of 300, 974, 468, 721, 662
• LCM of 150, 712, 448, 254, 416
• LCM of 399, 606, 172, 139, 869

1. What is the LCM of 361, 646, 283, 429, 460?

Answer: LCM of 361, 646, 283, 429, 460 is 342734389140.

2. How to calculate the LCM of 361, 646, 283, 429, 460?

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 361, 646, 283, 429, 460.

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}.