Given numbers are 728,690,542,206,363

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

The LCM of 728,690,542,206,363 is 848286118680.

Find LCM of 728,690,542,206,363 with Prime Factorization

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

2 x 3 x 364 x 115 x 271 x 103 x 121 = 848286118680

Therefore, the lowest common multiple of 728,690,542,206,363 is 848286118680.

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 690 x 542 x 206 x 363 = 20358866848320

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

542 : 1, 2, 271, 542

206 : 1, 2, 103, 206

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,690,542,206,363, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

690:2x 3x 5x 23

542:2x 271

206:2x 103

363:3x 11x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 20358866848320/(1x24)

LCM = 20358866848320/24

LCM = 848286118680

Thus, we can understand that the LCM of 728,690,542,206,363 is 848286118680.

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

• LCM of 555, 602, 949, 352, 965
• LCM of 207, 182, 906, 522, 335
• LCM of 894, 133, 495, 541, 430
• LCM of 521, 207, 442, 182, 265
• LCM of 126, 471, 116, 598, 976

1. What is the LCM of 728, 690, 542, 206, 363?

Answer: LCM of 728, 690, 542, 206, 363 is 848286118680.

2. How to calculate the LCM of 728, 690, 542, 206, 363?

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, 690, 542, 206, 363.

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}.