Given numbers are 828,689,804,252,710

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

The LCM of 828,689,804,252,710 is 94984065540.

Find LCM of 828,689,804,252,710 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 689 x 67 x 7 x 355 = 94984065540

Therefore, the lowest common multiple of 828,689,804,252,710 is 94984065540.

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.

828 x 689 x 804 x 252 x 710 = 82066232626560

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

689 : 1, 13, 53, 689

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

710 : 1, 2, 5, 10, 71, 142, 355, 710

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,689,804,252,710, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

689:13x 53

804:2x 2x 3x 67

252:2x 2x 3x 3x 7

710:2x 5x 71

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 82066232626560/(1x864)

LCM = 82066232626560/864

LCM = 94984065540

Thus, we can understand that the LCM of 828,689,804,252,710 is 94984065540.

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

• LCM of 172, 514, 220, 522, 689
• LCM of 854, 876, 908, 528, 274
• LCM of 571, 714, 397, 114, 737
• LCM of 622, 225, 338, 524, 489
• LCM of 522, 616, 296, 416, 653

1. What is the LCM of 828, 689, 804, 252, 710?

Answer: LCM of 828, 689, 804, 252, 710 is 94984065540.

2. How to calculate the LCM of 828, 689, 804, 252, 710?

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 828, 689, 804, 252, 710.

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}.