Given numbers are 728,273,412,652,644

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

The LCM of 728,273,412,652,644 is 843345048.

Find LCM of 728,273,412,652,644 with Prime Factorization

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

2 x 2 x 7 x 13 x 2 x 3 x 103 x 163 x 23 = 843345048

Therefore, the lowest common multiple of 728,273,412,652,644 is 843345048.

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 273 x 412 x 652 x 644 = 34381490916864

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

412 : 1, 2, 4, 103, 206, 412

652 : 1, 2, 4, 163, 326, 652

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,273,412,652,644, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

273:3x 7x 13

412:2x 2x 103

652:2x 2x 163

644:2x 2x 7x 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 7x 7x 13 = 40768

Therefore, the value for common factors is 40768.

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 = 34381490916864/(1x40768)

LCM = 34381490916864/40768

LCM = 843345048

Thus, we can understand that the LCM of 728,273,412,652,644 is 843345048.

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

• LCM of 797, 175, 296, 749, 723
• LCM of 468, 936, 607, 401, 419
• LCM of 426, 176, 425, 836, 540
• LCM of 382, 567, 527, 600, 395
• LCM of 159, 166, 611, 890, 786

1. What is the LCM of 728, 273, 412, 652, 644?

Answer: LCM of 728, 273, 412, 652, 644 is 843345048.

2. How to calculate the LCM of 728, 273, 412, 652, 644?

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, 273, 412, 652, 644.

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}.