Given numbers are 728,884,891,832,782

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

The LCM of 728,884,891,832,782 is 2028970944.

Find LCM of 728,884,891,832,782 with Prime Factorization

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

2 x 2 x 2 x 13 x 17 x 7 x 1 x 891 x 8 x 23 = 2028970944

Therefore, the lowest common multiple of 728,884,891,832,782 is 2028970944.

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 884 x 891 x 832 x 782 = 373070945415168

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

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

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,884,891,832,782, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

884:2x 2x 13x 17

891:3x 3x 3x 3x 11

832:2x 2x 2x 2x 2x 2x 13

782:2x 17x 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 2x 2x 13x 13x 17 = 183872

Therefore, the value for common factors is 183872.

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 = 373070945415168/(1x183872)

LCM = 373070945415168/183872

LCM = 2028970944

Thus, we can understand that the LCM of 728,884,891,832,782 is 2028970944.

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

• LCM of 978, 810, 539, 522, 643
• LCM of 624, 902, 315, 882, 848
• LCM of 547, 780, 243, 671, 957
• LCM of 946, 361, 892, 930, 543
• LCM of 759, 975, 137, 495, 465

1. What is the LCM of 728, 884, 891, 832, 782?

Answer: LCM of 728, 884, 891, 832, 782 is 2028970944.

2. How to calculate the LCM of 728, 884, 891, 832, 782?

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, 884, 891, 832, 782.

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}.