Given numbers are 727,400,756,284,827

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

The LCM of 727,400,756,284,827 is 3227156780400.

Find LCM of 727,400,756,284,827 with Prime Factorization

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

2 x 2 x 727 x 100 x 189 x 71 x 827 = 3227156780400

Therefore, the lowest common multiple of 727,400,756,284,827 is 3227156780400.

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.

727 x 400 x 756 x 284 x 827 = 51634508486400

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.

727 : 1, 727

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

284 : 1, 2, 4, 71, 142, 284

827 : 1, 827

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,400,756,284,827, is 1.

Now, the common factors can be found like this.

727:727

400:2x 2x 2x 2x 5x 5

756:2x 2x 3x 3x 3x 7

284:2x 2x 71

827:827

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 2 = 16

Therefore, the value for common factors is 16.

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 = 51634508486400/(1x16)

LCM = 51634508486400/16

LCM = 3227156780400

Thus, we can understand that the LCM of 727,400,756,284,827 is 3227156780400.

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

• LCM of 299, 898, 106, 242, 208
• LCM of 218, 809, 787, 655, 563
• LCM of 636, 223, 835, 419, 258
• LCM of 147, 390, 110, 227, 592
• LCM of 888, 922, 693, 906, 889

1. What is the LCM of 727, 400, 756, 284, 827?

Answer: LCM of 727, 400, 756, 284, 827 is 3227156780400.

2. How to calculate the LCM of 727, 400, 756, 284, 827?

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 727, 400, 756, 284, 827.

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}.