Given numbers are 489,549,629,681,540

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

The LCM of 489,549,629,681,540 is 766633339260.

Find LCM of 489,549,629,681,540 with Prime Factorization

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

3 x 3 x 163 x 61 x 629 x 227 x 60 = 766633339260

Therefore, the lowest common multiple of 489,549,629,681,540 is 766633339260.

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.

489 x 549 x 629 x 681 x 540 = 62097300480060

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.

489 : 1, 3, 163, 489

549 : 1, 3, 9, 61, 183, 549

629 : 1, 17, 37, 629

681 : 1, 3, 227, 681

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,549,629,681,540, is 1.

Now, the common factors can be found like this.

489:3x 163

549:3x 3x 61

629:17x 37

681:3x 227

540:2x 2x 3x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 62097300480060/(1x81)

LCM = 62097300480060/81

LCM = 766633339260

Thus, we can understand that the LCM of 489,549,629,681,540 is 766633339260.

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

• LCM of 289, 381, 399, 704, 801
• LCM of 810, 645, 156, 707, 467
• LCM of 235, 947, 526, 582, 953
• LCM of 829, 591, 557, 785, 807
• LCM of 187, 751, 601, 167, 708

1. What is the LCM of 489, 549, 629, 681, 540?

Answer: LCM of 489, 549, 629, 681, 540 is 766633339260.

2. How to calculate the LCM of 489, 549, 629, 681, 540?

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 489, 549, 629, 681, 540.

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}.