Given numbers are 528,687,782,735

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

The LCM of 528,687,782,735 is 11582765040.

Find LCM of 528,687,782,735 with Prime Factorization

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

2 x 3 x 88 x 229 x 391 x 245 = 11582765040

Therefore, the lowest common multiple of 528,687,782,735 is 11582765040.

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.

528 x 687 x 782 x 735 = 208489770720

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

687 : 1, 3, 229, 687

782 : 1, 2, 17, 23, 34, 46, 391, 782

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,687,782,735, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

687:3x 229

782:2x 17x 23

735:3x 5x 7x 7

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 208489770720/(1x18)

LCM = 208489770720/18

LCM = 11582765040

Thus, we can understand that the LCM of 528,687,782,735 is 11582765040.

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

• LCM of 121, 961, 998, 494
• LCM of 910, 627, 425, 652
• LCM of 500, 274, 670, 756
• LCM of 497, 803, 947, 772
• LCM of 769, 861, 845, 483

1. What is the LCM of 528, 687, 782, 735?

Answer: LCM of 528, 687, 782, 735 is 11582765040.

2. How to calculate the LCM of 528, 687, 782, 735?

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 528, 687, 782, 735.

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}.