Given numbers are 346,478,408

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

The LCM of 346,478,408 is 16869576.

Find LCM of 346,478,408 with Prime Factorization

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

2 x 173 x 239 x 204 = 16869576

Therefore, the lowest common multiple of 346,478,408 is 16869576.

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 478 x 408 = 67478304

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

478 : 1, 2, 239, 478

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,478,408, is 2.

Now, the common factors can be found like this.

346:2x 173

478:2x 239

408:2x 2x 2x 3x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 67478304/(2x2)

LCM = 67478304/4

LCM = 16869576

Thus, we can understand that the LCM of 346,478,408 is 16869576.

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

• LCM of 325, 790, 477
• LCM of 393, 557, 712
• LCM of 619, 573, 121
• LCM of 448, 796, 306
• LCM of 503, 235, 107

1. What is the LCM of 346, 478, 408?

Answer: LCM of 346, 478, 408 is 16869576.

2. How to calculate the LCM of 346, 478, 408?

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, 478, 408.

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}.