Given numbers are 728,124,682,239

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

The LCM of 728,124,682,239 is 59331272.

Find LCM of 728,124,682,239 with Prime Factorization

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

2 x 2 x 31 x 182 x 1 x 11 x 239 = 59331272

Therefore, the lowest common multiple of 728,124,682,239 is 59331272.

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.

728 x 124 x 682 x 239 = 14714155456

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.

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

124 : 1, 2, 4, 31, 62, 124

682 : 1, 2, 11, 22, 31, 62, 341, 682

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,124,682,239, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

124:2x 2x 31

682:2x 11x 31

239:239

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 31 = 248

Therefore, the value for common factors is 248.

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 = 14714155456/(1x248)

LCM = 14714155456/248

LCM = 59331272

Thus, we can understand that the LCM of 728,124,682,239 is 59331272.

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

• LCM of 137, 862, 419, 852
• LCM of 213, 190, 173, 172
• LCM of 123, 174, 956, 357
• LCM of 774, 443, 961, 313
• LCM of 710, 144, 997, 381

1. What is the LCM of 728, 124, 682, 239?

Answer: LCM of 728, 124, 682, 239 is 59331272.

2. How to calculate the LCM of 728, 124, 682, 239?

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 728, 124, 682, 239.

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}.