Given numbers are 728,986,884,804

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

The LCM of 728,986,884,804 is 72139704.

Find LCM of 728,986,884,804 with Prime Factorization

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

2 x 2 x 13 x 17 x 14 x 29 x 1 x 201 = 72139704

Therefore, the lowest common multiple of 728,986,884,804 is 72139704.

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 986 x 884 x 804 = 510171986688

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,986,884,804, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

986:2x 17x 29

884:2x 2x 13x 17

804:2x 2x 3x 67

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 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 510171986688/(2x3536)

LCM = 510171986688/7072

LCM = 72139704

Thus, we can understand that the LCM of 728,986,884,804 is 72139704.

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

• LCM of 571, 915, 205, 271
• LCM of 582, 377, 456, 823
• LCM of 781, 820, 406, 906
• LCM of 693, 796, 109, 148
• LCM of 723, 466, 729, 985

1. What is the LCM of 728, 986, 884, 804?

Answer: LCM of 728, 986, 884, 804 is 72139704.

2. How to calculate the LCM of 728, 986, 884, 804?

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, 986, 884, 804.

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}.