Given numbers are 687,220,456,633,532

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

The LCM of 687,220,456,633,532 is 8482883640.

Find LCM of 687,220,456,633,532 with Prime Factorization

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

2 x 2 x 3 x 19 x 229 x 55 x 2 x 211 x 7 = 8482883640

Therefore, the lowest common multiple of 687,220,456,633,532 is 8482883640.

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.

687 x 220 x 456 x 633 x 532 = 23209169639040

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.

687 : 1, 3, 229, 687

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

633 : 1, 3, 211, 633

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,220,456,633,532, is 1.

Now, the common factors can be found like this.

687:3x 229

220:2x 2x 5x 11

456:2x 2x 2x 3x 19

633:3x 211

532:2x 2x 7x 19

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 3x 3x 19 = 2736

Therefore, the value for common factors is 2736.

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 = 23209169639040/(1x2736)

LCM = 23209169639040/2736

LCM = 8482883640

Thus, we can understand that the LCM of 687,220,456,633,532 is 8482883640.

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

• LCM of 863, 193, 243, 105, 167
• LCM of 917, 977, 818, 961, 454
• LCM of 528, 262, 714, 157, 817
• LCM of 666, 495, 614, 361, 400
• LCM of 468, 758, 846, 649, 782

1. What is the LCM of 687, 220, 456, 633, 532?

Answer: LCM of 687, 220, 456, 633, 532 is 8482883640.

2. How to calculate the LCM of 687, 220, 456, 633, 532?

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 687, 220, 456, 633, 532.

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}.