Given numbers are 516,18,329

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

The LCM of 516,18,329 is 509292.

Find LCM of 516,18,329 with Prime Factorization

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

2 x 3 x 86 x 3 x 329 = 509292

Therefore, the lowest common multiple of 516,18,329 is 509292.

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.

516 x 18 x 329 = 3055752

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,18,329, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

18:2x 3x 3

329:7x 47

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3055752/(1x6)

LCM = 3055752/6

LCM = 509292

Thus, we can understand that the LCM of 516,18,329 is 509292.

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

• LCM of 657, 69, 755
• LCM of 284, 67, 158
• LCM of 526, 70, 714
• LCM of 464, 57, 146
• LCM of 160, 24, 502

1. What is the LCM of 516, 18, 329?

Answer: LCM of 516, 18, 329 is 509292.

2. How to calculate the LCM of 516, 18, 329?

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 516, 18, 329.

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}.