Given numbers are 738,724,566

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

The LCM of 738,724,566 is 75605148.

Find LCM of 738,724,566 with Prime Factorization

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

2 x 369 x 362 x 283 = 75605148

Therefore, the lowest common multiple of 738,724,566 is 75605148.

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.

738 x 724 x 566 = 302420592

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

724 : 1, 2, 4, 181, 362, 724

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,724,566, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

724:2x 2x 181

566:2x 283

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 = 302420592/(2x2)

LCM = 302420592/4

LCM = 75605148

Thus, we can understand that the LCM of 738,724,566 is 75605148.

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

• LCM of 526, 843, 579
• LCM of 386, 268, 214
• LCM of 502, 447, 392
• LCM of 808, 622, 235
• LCM of 663, 758, 715

1. What is the LCM of 738, 724, 566?

Answer: LCM of 738, 724, 566 is 75605148.

2. How to calculate the LCM of 738, 724, 566?

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 738, 724, 566.

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}.