Given numbers are 728,235,684,284,502

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

The LCM of 728,235,684,284,502 is 521347652280.

Find LCM of 728,235,684,284,502 with Prime Factorization

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

2 x 2 x 182 x 235 x 171 x 71 x 251 = 521347652280

Therefore, the lowest common multiple of 728,235,684,284,502 is 521347652280.

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 235 x 684 x 284 x 502 = 16683124872960

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

235 : 1, 5, 47, 235

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

502 : 1, 2, 251, 502

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,235,684,284,502, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

235:5x 47

684:2x 2x 3x 3x 19

284:2x 2x 71

502:2x 251

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 2 = 32

Therefore, the value for common factors is 32.

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 = 16683124872960/(1x32)

LCM = 16683124872960/32

LCM = 521347652280

Thus, we can understand that the LCM of 728,235,684,284,502 is 521347652280.

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

• LCM of 654, 429, 576, 370, 792
• LCM of 113, 430, 135, 771, 970
• LCM of 996, 414, 407, 164, 681
• LCM of 740, 200, 621, 114, 289
• LCM of 913, 884, 132, 102, 875

1. What is the LCM of 728, 235, 684, 284, 502?

Answer: LCM of 728, 235, 684, 284, 502 is 521347652280.

2. How to calculate the LCM of 728, 235, 684, 284, 502?

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, 235, 684, 284, 502.

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}.