Given numbers are 488,900,187,231,533

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

The LCM of 488,900,187,231,533 is 76607130600.

Find LCM of 488,900,187,231,533 with Prime Factorization

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

2 x 2 x 3 x 11 x 122 x 75 x 17 x 7 x 533 = 76607130600

Therefore, the lowest common multiple of 488,900,187,231,533 is 76607130600.

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 900 x 187 x 231 x 533 = 10112141239200

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

187 : 1, 11, 17, 187

231 : 1, 3, 7, 11, 21, 33, 77, 231

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,900,187,231,533, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

900:2x 2x 3x 3x 5x 5

187:11x 17

231:3x 7x 11

533:13x 41

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 10112141239200/(1x132)

LCM = 10112141239200/132

LCM = 76607130600

Thus, we can understand that the LCM of 488,900,187,231,533 is 76607130600.

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

• LCM of 384, 702, 841, 936, 488
• LCM of 907, 814, 384, 265, 456
• LCM of 677, 531, 213, 323, 764
• LCM of 940, 755, 760, 886, 996
• LCM of 521, 766, 436, 842, 675

1. What is the LCM of 488, 900, 187, 231, 533?

Answer: LCM of 488, 900, 187, 231, 533 is 76607130600.

2. How to calculate the LCM of 488, 900, 187, 231, 533?

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, 900, 187, 231, 533.

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}.