Given numbers are 488,660,167,492,529

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

The LCM of 488,660,167,492,529 is 291648512760.

Find LCM of 488,660,167,492,529 with Prime Factorization

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

2 x 2 x 3 x 122 x 55 x 167 x 41 x 529 = 291648512760

Therefore, the lowest common multiple of 488,660,167,492,529 is 291648512760.

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.

488 x 660 x 167 x 492 x 529 = 13999128612480

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

167 : 1, 167

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,660,167,492,529, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

660:2x 2x 3x 5x 11

167:167

492:2x 2x 3x 41

529:23x 23

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 13999128612480/(1x48)

LCM = 13999128612480/48

LCM = 291648512760

Thus, we can understand that the LCM of 488,660,167,492,529 is 291648512760.

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

• LCM of 949, 427, 244, 702, 494
• LCM of 146, 631, 961, 191, 791
• LCM of 217, 549, 723, 233, 233
• LCM of 691, 667, 290, 174, 671
• LCM of 377, 186, 722, 622, 129

1. What is the LCM of 488, 660, 167, 492, 529?

Answer: LCM of 488, 660, 167, 492, 529 is 291648512760.

2. How to calculate the LCM of 488, 660, 167, 492, 529?

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 488, 660, 167, 492, 529.

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}.