Given numbers are 728,234,193

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

The LCM of 728,234,193 is 1264536.

Find LCM of 728,234,193 with Prime Factorization

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

2 x 13 x 28 x 9 x 193 = 1264536

Therefore, the lowest common multiple of 728,234,193 is 1264536.

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 234 x 193 = 32877936

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,234,193, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

234:2x 3x 3x 13

193:193

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 32877936/(1x26)

LCM = 32877936/26

LCM = 1264536

Thus, we can understand that the LCM of 728,234,193 is 1264536.

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

• LCM of 674, 891, 112
• LCM of 106, 960, 799
• LCM of 791, 664, 255
• LCM of 951, 861, 696
• LCM of 315, 740, 117

1. What is the LCM of 728, 234, 193?

Answer: LCM of 728, 234, 193 is 1264536.

2. How to calculate the LCM of 728, 234, 193?

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, 234, 193.

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}.