Given numbers are 728,720,912,343

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

The LCM of 728,720,912,343 is 60999120.

Find LCM of 728,720,912,343 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 13 x 15 x 19 x 49 = 60999120

Therefore, the lowest common multiple of 728,720,912,343 is 60999120.

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 720 x 912 x 343 = 163965634560

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,720,912,343, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

720:2x 2x 2x 2x 3x 3x 5

912:2x 2x 2x 2x 3x 19

343:7x 7x 7

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 2x 3x 7 = 2688

Therefore, the value for common factors is 2688.

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 = 163965634560/(1x2688)

LCM = 163965634560/2688

LCM = 60999120

Thus, we can understand that the LCM of 728,720,912,343 is 60999120.

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

• LCM of 950, 872, 244, 639
• LCM of 982, 632, 429, 612
• LCM of 289, 542, 333, 899
• LCM of 360, 755, 240, 275
• LCM of 452, 325, 879, 621

1. What is the LCM of 728, 720, 912, 343?

Answer: LCM of 728, 720, 912, 343 is 60999120.

2. How to calculate the LCM of 728, 720, 912, 343?

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, 720, 912, 343.

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}.