Given numbers are 106,20,238

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

The LCM of 106,20,238 is 126140.

Find LCM of 106,20,238 with Prime Factorization

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

2 x 53 x 10 x 119 = 126140

Therefore, the lowest common multiple of 106,20,238 is 126140.

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.

106 x 20 x 238 = 504560

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.

106 : 1, 2, 53, 106

20 : 1, 2, 4, 5, 10, 20

238 : 1, 2, 7, 14, 17, 34, 119, 238

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,20,238, is 2.

Now, the common factors can be found like this.

106:2x 53

20:2x 2x 5

238:2x 7x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 504560/(2x2)

LCM = 504560/4

LCM = 126140

Thus, we can understand that the LCM of 106,20,238 is 126140.

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

• LCM of 327, 53, 507
• LCM of 102, 18, 106
• LCM of 627, 79, 774
• LCM of 182, 35, 427
• LCM of 122, 75, 951

1. What is the LCM of 106, 20, 238?

Answer: LCM of 106, 20, 238 is 126140.

2. How to calculate the LCM of 106, 20, 238?

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 106, 20, 238.

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}.