Given numbers are 802,489,414,728,152

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

The LCM of 802,489,414,728,152 is 187148910312.

Find LCM of 802,489,414,728,152 with Prime Factorization

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

2 x 2 x 2 x 3 x 401 x 163 x 69 x 91 x 19 = 187148910312

Therefore, the lowest common multiple of 802,489,414,728,152 is 187148910312.

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.

802 x 489 x 414 x 728 x 152 = 17966295389952

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.

802 : 1, 2, 401, 802

489 : 1, 3, 163, 489

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,489,414,728,152, is 1.

Now, the common factors can be found like this.

802:2x 401

489:3x 163

414:2x 3x 3x 23

728:2x 2x 2x 7x 13

152:2x 2x 2x 19

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 3 = 96

Therefore, the value for common factors is 96.

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 = 17966295389952/(1x96)

LCM = 17966295389952/96

LCM = 187148910312

Thus, we can understand that the LCM of 802,489,414,728,152 is 187148910312.

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

• LCM of 323, 140, 686, 336, 702
• LCM of 609, 543, 938, 448, 999
• LCM of 945, 310, 231, 795, 208
• LCM of 969, 654, 876, 257, 683
• LCM of 655, 218, 433, 481, 211

1. What is the LCM of 802, 489, 414, 728, 152?

Answer: LCM of 802, 489, 414, 728, 152 is 187148910312.

2. How to calculate the LCM of 802, 489, 414, 728, 152?

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 802, 489, 414, 728, 152.

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}.