Given numbers are 206,74,518

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

The LCM of 206,74,518 is 53354.

Find LCM of 206,74,518 with Prime Factorization

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

2 x 37 x 103 x 1 x 7 = 53354

Therefore, the lowest common multiple of 206,74,518 is 53354.

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.

206 x 74 x 518 = 7896392

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.

206 : 1, 2, 103, 206

74 : 1, 2, 37, 74

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,74,518, is 2.

Now, the common factors can be found like this.

206:2x 103

74:2x 37

518:2x 7x 37

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 7896392/(2x74)

LCM = 7896392/148

LCM = 53354

Thus, we can understand that the LCM of 206,74,518 is 53354.

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

• LCM of 675, 92, 554
• LCM of 946, 77, 229
• LCM of 113, 61, 387
• LCM of 508, 20, 678
• LCM of 701, 98, 663

1. What is the LCM of 206, 74, 518?

Answer: LCM of 206, 74, 518 is 53354.

2. How to calculate the LCM of 206, 74, 518?

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 206, 74, 518.

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}.