Given numbers are 728,497,756,706

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

The LCM of 728,497,756,706 is 492638328.

Find LCM of 728,497,756,706 with Prime Factorization

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

2 x 2 x 7 x 26 x 71 x 27 x 353 = 492638328

Therefore, the lowest common multiple of 728,497,756,706 is 492638328.

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 497 x 756 x 706 = 193114224576

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

497 : 1, 7, 71, 497

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,497,756,706, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

497:7x 71

756:2x 2x 3x 3x 3x 7

706:2x 353

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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 193114224576/(1x392)

LCM = 193114224576/392

LCM = 492638328

Thus, we can understand that the LCM of 728,497,756,706 is 492638328.

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

• LCM of 318, 620, 926, 358
• LCM of 110, 115, 623, 195
• LCM of 359, 152, 403, 363
• LCM of 234, 700, 631, 854
• LCM of 369, 749, 287, 893

1. What is the LCM of 728, 497, 756, 706?

Answer: LCM of 728, 497, 756, 706 is 492638328.

2. How to calculate the LCM of 728, 497, 756, 706?

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, 497, 756, 706.

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}.