Given numbers are 331,348,146,408

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

The LCM of 331,348,146,408 is 285896616.

Find LCM of 331,348,146,408 with Prime Factorization

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

2 x 2 x 3 x 331 x 29 x 73 x 34 = 285896616

Therefore, the lowest common multiple of 331,348,146,408 is 285896616.

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.

331 x 348 x 146 x 408 = 6861518784

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.

331 : 1, 331

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

146 : 1, 2, 73, 146

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,348,146,408, is 1.

Now, the common factors can be found like this.

331:331

348:2x 2x 3x 29

146:2x 73

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.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6861518784/(1x24)

LCM = 6861518784/24

LCM = 285896616

Thus, we can understand that the LCM of 331,348,146,408 is 285896616.

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

• LCM of 771, 776, 983, 100
• LCM of 855, 315, 487, 699
• LCM of 328, 164, 822, 949
• LCM of 490, 396, 942, 520
• LCM of 427, 566, 345, 456

1. What is the LCM of 331, 348, 146, 408?

Answer: LCM of 331, 348, 146, 408 is 285896616.

2. How to calculate the LCM of 331, 348, 146, 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 331, 348, 146, 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}.