Given numbers are 728,414,997

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

The LCM of 728,414,997 is 150243912.

Find LCM of 728,414,997 with Prime Factorization

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

2 x 364 x 207 x 997 = 150243912

Therefore, the lowest common multiple of 728,414,997 is 150243912.

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 414 x 997 = 300487824

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,414,997, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

414:2x 3x 3x 23

997:997

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

2 = 2

Therefore, the value for common factors is 2.

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 = 300487824/(1x2)

LCM = 300487824/2

LCM = 150243912

Thus, we can understand that the LCM of 728,414,997 is 150243912.

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

• LCM of 352, 941, 964
• LCM of 699, 814, 333
• LCM of 452, 595, 873
• LCM of 142, 808, 862
• LCM of 471, 297, 276

1. What is the LCM of 728, 414, 997?

Answer: LCM of 728, 414, 997 is 150243912.

2. How to calculate the LCM of 728, 414, 997?

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, 414, 997.

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}.