Given numbers are 728,163,406,338

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

The LCM of 728,163,406,338 is 44736328.

Find LCM of 728,163,406,338 with Prime Factorization

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

2 x 7 x 13 x 4 x 163 x 29 x 13 = 44736328

Therefore, the lowest common multiple of 728,163,406,338 is 44736328.

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 163 x 406 x 338 = 16284023392

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

163 : 1, 163

406 : 1, 2, 7, 14, 29, 58, 203, 406

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,163,406,338, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

163:163

406:2x 7x 29

338:2x 13x 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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 16284023392/(1x364)

LCM = 16284023392/364

LCM = 44736328

Thus, we can understand that the LCM of 728,163,406,338 is 44736328.

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

• LCM of 110, 254, 205, 502
• LCM of 367, 581, 748, 131
• LCM of 953, 289, 767, 306
• LCM of 198, 558, 515, 459
• LCM of 822, 186, 972, 544

1. What is the LCM of 728, 163, 406, 338?

Answer: LCM of 728, 163, 406, 338 is 44736328.

2. How to calculate the LCM of 728, 163, 406, 338?

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, 163, 406, 338.

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}.