Given numbers are 513,38,193

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

The LCM of 513,38,193 is 198018.

Find LCM of 513,38,193 with Prime Factorization

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

19 x 27 x 2 x 193 = 198018

Therefore, the lowest common multiple of 513,38,193 is 198018.

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.

513 x 38 x 193 = 3762342

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

38 : 1, 2, 19, 38

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,38,193, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

38:2x 19

193:193

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

19 = 19

Therefore, the value for common factors is 19.

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 = 3762342/(1x19)

LCM = 3762342/19

LCM = 198018

Thus, we can understand that the LCM of 513,38,193 is 198018.

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

• LCM of 527, 29, 480
• LCM of 754, 27, 955
• LCM of 169, 38, 112
• LCM of 957, 73, 513
• LCM of 704, 69, 516

1. What is the LCM of 513, 38, 193?

Answer: LCM of 513, 38, 193 is 198018.

2. How to calculate the LCM of 513, 38, 193?

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 513, 38, 193.

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}.