Given numbers are 727,138,802,206,400

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

The LCM of 727,138,802,206,400 is 828752955600.

Find LCM of 727,138,802,206,400 with Prime Factorization

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

2 x 727 x 69 x 401 x 103 x 200 = 828752955600

Therefore, the lowest common multiple of 727,138,802,206,400 is 828752955600.

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 138 x 802 x 206 x 400 = 6630023644800

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

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

802 : 1, 2, 401, 802

206 : 1, 2, 103, 206

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,138,802,206,400, is 1.

Now, the common factors can be found like this.

727:727

138:2x 3x 23

802:2x 401

206:2x 103

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

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6630023644800/(1x8)

LCM = 6630023644800/8

LCM = 828752955600

Thus, we can understand that the LCM of 727,138,802,206,400 is 828752955600.

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

• LCM of 149, 136, 787, 941, 545
• LCM of 399, 813, 283, 309, 682
• LCM of 348, 996, 867, 994, 313
• LCM of 179, 790, 648, 368, 567
• LCM of 299, 696, 117, 681, 585

1. What is the LCM of 727, 138, 802, 206, 400?

Answer: LCM of 727, 138, 802, 206, 400 is 828752955600.

2. How to calculate the LCM of 727, 138, 802, 206, 400?

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, 138, 802, 206, 400.

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}.