Given numbers are 106,135,188,184

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

The LCM of 106,135,188,184 is 61876440.

Find LCM of 106,135,188,184 with Prime Factorization

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

2 x 2 x 53 x 135 x 47 x 46 = 61876440

Therefore, the lowest common multiple of 106,135,188,184 is 61876440.

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 135 x 188 x 184 = 495011520

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

188 : 1, 2, 4, 47, 94, 188

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,135,188,184, is 1.

Now, the common factors can be found like this.

106:2x 53

135:3x 3x 3x 5

188:2x 2x 47

184:2x 2x 2x 23

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 495011520/(1x8)

LCM = 495011520/8

LCM = 61876440

Thus, we can understand that the LCM of 106,135,188,184 is 61876440.

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

• LCM of 569, 432, 427, 815
• LCM of 752, 707, 202, 654
• LCM of 269, 718, 192, 371
• LCM of 254, 183, 966, 459
• LCM of 731, 445, 820, 116

1. What is the LCM of 106, 135, 188, 184?

Answer: LCM of 106, 135, 188, 184 is 61876440.

2. How to calculate the LCM of 106, 135, 188, 184?

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, 135, 188, 184.

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}.