Given numbers are 346,418,624,381

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

The LCM of 346,418,624,381 is 2865369936.

Find LCM of 346,418,624,381 with Prime Factorization

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

2 x 3 x 173 x 209 x 104 x 127 = 2865369936

Therefore, the lowest common multiple of 346,418,624,381 is 2865369936.

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.

346 x 418 x 624 x 381 = 34384439232

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.

346 : 1, 2, 173, 346

418 : 1, 2, 11, 19, 22, 38, 209, 418

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,418,624,381, is 1.

Now, the common factors can be found like this.

346:2x 173

418:2x 11x 19

624:2x 2x 2x 2x 3x 13

381:3x 127

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34384439232/(1x12)

LCM = 34384439232/12

LCM = 2865369936

Thus, we can understand that the LCM of 346,418,624,381 is 2865369936.

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

• LCM of 360, 501, 279, 229
• LCM of 413, 577, 933, 431
• LCM of 428, 859, 600, 475
• LCM of 213, 431, 676, 254
• LCM of 184, 114, 682, 941

1. What is the LCM of 346, 418, 624, 381?

Answer: LCM of 346, 418, 624, 381 is 2865369936.

2. How to calculate the LCM of 346, 418, 624, 381?

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 346, 418, 624, 381.

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}.