Given numbers are 331,208,728,182

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

The LCM of 331,208,728,182 is 481936.

Find LCM of 331,208,728,182 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 331 x 2 x 1 x 1 = 481936

Therefore, the lowest common multiple of 331,208,728,182 is 481936.

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 208 x 728 x 182 = 9122084608

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,208,728,182, is 1.

Now, the common factors can be found like this.

331:331

208:2x 2x 2x 2x 13

728:2x 2x 2x 7x 13

182:2x 7x 13

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 2x 7x 13x 13 = 18928

Therefore, the value for common factors is 18928.

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 = 9122084608/(1x18928)

LCM = 9122084608/18928

LCM = 481936

Thus, we can understand that the LCM of 331,208,728,182 is 481936.

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

• LCM of 736, 641, 837, 549
• LCM of 698, 133, 442, 257
• LCM of 236, 931, 191, 592
• LCM of 682, 599, 554, 930
• LCM of 789, 656, 682, 716

1. What is the LCM of 331, 208, 728, 182?

Answer: LCM of 331, 208, 728, 182 is 481936.

2. How to calculate the LCM of 331, 208, 728, 182?

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, 208, 728, 182.

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}.