Given numbers are 728,233,284,497,823

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

The LCM of 728,233,284,497,823 is 9911639192.

Find LCM of 728,233,284,497,823 with Prime Factorization

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

2 x 2 x 7 x 71 x 26 x 233 x 1 x 1 x 823 = 9911639192

Therefore, the lowest common multiple of 728,233,284,497,823 is 9911639192.

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 233 x 284 x 497 x 823 = 19704338713696

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

233 : 1, 233

284 : 1, 2, 4, 71, 142, 284

497 : 1, 7, 71, 497

823 : 1, 823

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,233,284,497,823, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

233:233

284:2x 2x 71

497:7x 71

823:823

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 7x 71 = 1988

Therefore, the value for common factors is 1988.

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 = 19704338713696/(1x1988)

LCM = 19704338713696/1988

LCM = 9911639192

Thus, we can understand that the LCM of 728,233,284,497,823 is 9911639192.

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

• LCM of 332, 580, 860, 553, 721
• LCM of 522, 677, 987, 995, 699
• LCM of 894, 846, 405, 822, 633
• LCM of 509, 175, 563, 942, 185
• LCM of 800, 582, 860, 117, 188

1. What is the LCM of 728, 233, 284, 497, 823?

Answer: LCM of 728, 233, 284, 497, 823 is 9911639192.

2. How to calculate the LCM of 728, 233, 284, 497, 823?

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, 233, 284, 497, 823.

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}.