Given numbers are 489,175,745

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

The LCM of 489,175,745 is 12750675.

Find LCM of 489,175,745 with Prime Factorization

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

5 x 489 x 35 x 149 = 12750675

Therefore, the lowest common multiple of 489,175,745 is 12750675.

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.

489 x 175 x 745 = 63753375

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.

489 : 1, 3, 163, 489

175 : 1, 5, 7, 25, 35, 175

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,175,745, is 1.

Now, the common factors can be found like this.

489:3x 163

175:5x 5x 7

745:5x 149

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

5 = 5

Therefore, the value for common factors is 5.

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 = 63753375/(1x5)

LCM = 63753375/5

LCM = 12750675

Thus, we can understand that the LCM of 489,175,745 is 12750675.

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

• LCM of 233, 249, 559
• LCM of 989, 461, 609
• LCM of 960, 786, 381
• LCM of 917, 683, 545
• LCM of 538, 623, 903

1. What is the LCM of 489, 175, 745?

Answer: LCM of 489, 175, 745 is 12750675.

2. How to calculate the LCM of 489, 175, 745?

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 489, 175, 745.

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}.