Given numbers are 812,432,414,865,138

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

The LCM of 812,432,414,865,138 is 1744711920.

Find LCM of 812,432,414,865,138 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 203 x 12 x 1 x 865 x 1 = 1744711920

Therefore, the lowest common multiple of 812,432,414,865,138 is 1744711920.

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.

812 x 432 x 414 x 865 x 138 = 17335457637120

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

865 : 1, 5, 173, 865

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,432,414,865,138, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

432:2x 2x 2x 2x 3x 3x 3

414:2x 3x 3x 23

865:5x 173

138:2x 3x 23

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 3x 23 = 9936

Therefore, the value for common factors is 9936.

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 = 17335457637120/(1x9936)

LCM = 17335457637120/9936

LCM = 1744711920

Thus, we can understand that the LCM of 812,432,414,865,138 is 1744711920.

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

• LCM of 518, 143, 201, 422, 940
• LCM of 499, 804, 439, 303, 673
• LCM of 212, 738, 806, 808, 341
• LCM of 215, 776, 566, 216, 757
• LCM of 116, 937, 621, 262, 466

1. What is the LCM of 812, 432, 414, 865, 138?

Answer: LCM of 812, 432, 414, 865, 138 is 1744711920.

2. How to calculate the LCM of 812, 432, 414, 865, 138?

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 812, 432, 414, 865, 138.

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}.