Given numbers are 689,281,513,128,728

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

The LCM of 689,281,513,128,728 is 88991989632.

Find LCM of 689,281,513,128,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 53 x 281 x 513 x 16 x 7 = 88991989632

Therefore, the lowest common multiple of 689,281,513,128,728 is 88991989632.

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.

689 x 281 x 513 x 128 x 728 = 9255166921728

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.

689 : 1, 13, 53, 689

281 : 1, 281

513 : 1, 3, 9, 19, 27, 57, 171, 513

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,281,513,128,728, is 1.

Now, the common factors can be found like this.

689:13x 53

281:281

513:3x 3x 3x 19

128:2x 2x 2x 2x 2x 2x 2

728:2x 2x 2x 7x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 9255166921728/(1x104)

LCM = 9255166921728/104

LCM = 88991989632

Thus, we can understand that the LCM of 689,281,513,128,728 is 88991989632.

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

• LCM of 217, 380, 888, 751, 394
• LCM of 446, 560, 741, 382, 898
• LCM of 431, 968, 998, 216, 136
• LCM of 880, 465, 196, 681, 643
• LCM of 612, 898, 576, 716, 283

1. What is the LCM of 689, 281, 513, 128, 728?

Answer: LCM of 689, 281, 513, 128, 728 is 88991989632.

2. How to calculate the LCM of 689, 281, 513, 128, 728?

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 689, 281, 513, 128, 728.

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}.