Given numbers are 387,54,589

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

The LCM of 387,54,589 is 1367658.

Find LCM of 387,54,589 with Prime Factorization

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

3 x 3 x 43 x 6 x 589 = 1367658

Therefore, the lowest common multiple of 387,54,589 is 1367658.

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.

387 x 54 x 589 = 12308922

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.

387 : 1, 3, 9, 43, 129, 387

54 : 1, 2, 3, 6, 9, 18, 27, 54

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,54,589, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

54:2x 3x 3x 3

589:19x 31

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 12308922/(1x9)

LCM = 12308922/9

LCM = 1367658

Thus, we can understand that the LCM of 387,54,589 is 1367658.

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

• LCM of 161, 17, 972
• LCM of 466, 73, 374
• LCM of 898, 15, 142
• LCM of 560, 41, 735
• LCM of 429, 23, 937

1. What is the LCM of 387, 54, 589?

Answer: LCM of 387, 54, 589 is 1367658.

2. How to calculate the LCM of 387, 54, 589?

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 387, 54, 589.

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}.