Given numbers are 538,610,628,190,566

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

The LCM of 538,610,628,190,566 is 277045946020.

Find LCM of 538,610,628,190,566 with Prime Factorization

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

2 x 5 x 269 x 61 x 314 x 19 x 283 = 277045946020

Therefore, the lowest common multiple of 538,610,628,190,566 is 277045946020.

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.

538 x 610 x 628 x 190 x 566 = 22163675681600

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.

538 : 1, 2, 269, 538

610 : 1, 2, 5, 10, 61, 122, 305, 610

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

190 : 1, 2, 5, 10, 19, 38, 95, 190

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,610,628,190,566, is 2.

Now, the common factors can be found like this.

538:2x 269

610:2x 5x 61

628:2x 2x 157

190:2x 5x 19

566:2x 283

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 5 = 40

Therefore, the value for common factors is 40.

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 = 22163675681600/(2x40)

LCM = 22163675681600/80

LCM = 277045946020

Thus, we can understand that the LCM of 538,610,628,190,566 is 277045946020.

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

• LCM of 674, 335, 270, 740, 111
• LCM of 300, 115, 333, 528, 885
• LCM of 404, 561, 818, 738, 328
• LCM of 665, 789, 302, 811, 506
• LCM of 667, 839, 192, 299, 756

1. What is the LCM of 538, 610, 628, 190, 566?

Answer: LCM of 538, 610, 628, 190, 566 is 277045946020.

2. How to calculate the LCM of 538, 610, 628, 190, 566?

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 538, 610, 628, 190, 566.

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}.