Given numbers are 230,445,728

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

The LCM of 230,445,728 is 7451080.

Find LCM of 230,445,728 with Prime Factorization

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

2 x 5 x 23 x 89 x 364 = 7451080

Therefore, the lowest common multiple of 230,445,728 is 7451080.

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.

230 x 445 x 728 = 74510800

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

445 : 1, 5, 89, 445

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,445,728, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

445:5x 89

728:2x 2x 2x 7x 13

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 74510800/(1x10)

LCM = 74510800/10

LCM = 7451080

Thus, we can understand that the LCM of 230,445,728 is 7451080.

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

• LCM of 562, 112, 743
• LCM of 673, 781, 863
• LCM of 456, 996, 931
• LCM of 829, 933, 258
• LCM of 975, 244, 281

1. What is the LCM of 230, 445, 728?

Answer: LCM of 230, 445, 728 is 7451080.

2. How to calculate the LCM of 230, 445, 728?

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 230, 445, 728.

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}.