Given numbers are 728,702,848,204

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

The LCM of 728,702,848,204 is 35420112.

Find LCM of 728,702,848,204 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 7 x 9 x 106 x 17 = 35420112

Therefore, the lowest common multiple of 728,702,848,204 is 35420112.

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.

728 x 702 x 848 x 204 = 88408599552

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.

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,702,848,204, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

702:2x 3x 3x 3x 13

848:2x 2x 2x 2x 53

204:2x 2x 3x 17

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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 88408599552/(2x1248)

LCM = 88408599552/2496

LCM = 35420112

Thus, we can understand that the LCM of 728,702,848,204 is 35420112.

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

• LCM of 792, 801, 321, 686
• LCM of 589, 953, 233, 181
• LCM of 123, 990, 461, 299
• LCM of 948, 218, 645, 365
• LCM of 259, 248, 325, 879

1. What is the LCM of 728, 702, 848, 204?

Answer: LCM of 728, 702, 848, 204 is 35420112.

2. How to calculate the LCM of 728, 702, 848, 204?

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 728, 702, 848, 204.

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}.