Given numbers are 872,423,282,528,689

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

The LCM of 872,423,282,528,689 is 5591119248.

Find LCM of 872,423,282,528,689 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 109 x 1 x 3 x 22 x 689 = 5591119248

Therefore, the lowest common multiple of 872,423,282,528,689 is 5591119248.

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.

872 x 423 x 282 x 528 x 689 = 37840695070464

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

423 : 1, 3, 9, 47, 141, 423

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,423,282,528,689, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

423:3x 3x 47

282:2x 3x 47

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

689:13x 53

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 47 = 6768

Therefore, the value for common factors is 6768.

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 = 37840695070464/(1x6768)

LCM = 37840695070464/6768

LCM = 5591119248

Thus, we can understand that the LCM of 872,423,282,528,689 is 5591119248.

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

• LCM of 725, 840, 499, 159, 295
• LCM of 805, 763, 886, 856, 836
• LCM of 938, 711, 859, 435, 758
• LCM of 166, 754, 496, 996, 994
• LCM of 309, 650, 127, 961, 876

1. What is the LCM of 872, 423, 282, 528, 689?

Answer: LCM of 872, 423, 282, 528, 689 is 5591119248.

2. How to calculate the LCM of 872, 423, 282, 528, 689?

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 872, 423, 282, 528, 689.

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}.