Given numbers are 870,943,497,543,728

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

The LCM of 870,943,497,543,728 is 3837684363240.

Find LCM of 870,943,497,543,728 with Prime Factorization

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

2 x 3 x 7 x 145 x 943 x 71 x 181 x 52 = 3837684363240

Therefore, the lowest common multiple of 870,943,497,543,728 is 3837684363240.

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.

870 x 943 x 497 x 543 x 728 = 161182743256080

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

943 : 1, 23, 41, 943

497 : 1, 7, 71, 497

543 : 1, 3, 181, 543

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 870,943,497,543,728, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

943:23x 41

497:7x 71

543:3x 181

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 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 161182743256080/(1x42)

LCM = 161182743256080/42

LCM = 3837684363240

Thus, we can understand that the LCM of 870,943,497,543,728 is 3837684363240.

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

• LCM of 307, 105, 672, 444, 308
• LCM of 555, 738, 338, 663, 532
• LCM of 801, 106, 158, 359, 766
• LCM of 130, 672, 935, 757, 445
• LCM of 496, 854, 819, 234, 315

1. What is the LCM of 870, 943, 497, 543, 728?

Answer: LCM of 870, 943, 497, 543, 728 is 3837684363240.

2. How to calculate the LCM of 870, 943, 497, 543, 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 870, 943, 497, 543, 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}.