Given numbers are 728,676,552,487

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

The LCM of 728,676,552,487 is 318018792.

Find LCM of 728,676,552,487 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 13 x 69 x 487 = 318018792

Therefore, the lowest common multiple of 728,676,552,487 is 318018792.

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.

728 x 676 x 552 x 487 = 132295817472

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,676,552,487, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

676:2x 2x 13x 13

552:2x 2x 2x 3x 23

487:487

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 132295817472/(1x416)

LCM = 132295817472/416

LCM = 318018792

Thus, we can understand that the LCM of 728,676,552,487 is 318018792.

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

• LCM of 745, 465, 188, 953
• LCM of 226, 539, 295, 888
• LCM of 648, 720, 740, 312
• LCM of 551, 942, 623, 839
• LCM of 466, 153, 905, 166

1. What is the LCM of 728, 676, 552, 487?

Answer: LCM of 728, 676, 552, 487 is 318018792.

2. How to calculate the LCM of 728, 676, 552, 487?

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 728, 676, 552, 487.

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}.