Given numbers are 628,188,341,381,728

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

The LCM of 628,188,341,381,728 is 697924178952.

Find LCM of 628,188,341,381,728 with Prime Factorization

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

2 x 2 x 157 x 47 x 341 x 381 x 182 = 697924178952

Therefore, the lowest common multiple of 628,188,341,381,728 is 697924178952.

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.

628 x 188 x 341 x 381 x 728 = 11166786863232

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.

628 : 1, 2, 4, 157, 314, 628

188 : 1, 2, 4, 47, 94, 188

341 : 1, 11, 31, 341

381 : 1, 3, 127, 381

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,188,341,381,728, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

188:2x 2x 47

341:11x 31

381:3x 127

728:2x 2x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 11166786863232/(1x16)

LCM = 11166786863232/16

LCM = 697924178952

Thus, we can understand that the LCM of 628,188,341,381,728 is 697924178952.

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

• LCM of 529, 110, 888, 218, 898
• LCM of 381, 385, 747, 828, 127
• LCM of 334, 453, 474, 432, 154
• LCM of 548, 387, 457, 224, 836
• LCM of 725, 782, 647, 201, 923

1. What is the LCM of 628, 188, 341, 381, 728?

Answer: LCM of 628, 188, 341, 381, 728 is 697924178952.

2. How to calculate the LCM of 628, 188, 341, 381, 728?

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 628, 188, 341, 381, 728.

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}.