Given numbers are 106,240,135,816

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

The LCM of 106,240,135,816 is 1946160.

Find LCM of 106,240,135,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 53 x 1 x 9 x 17 = 1946160

Therefore, the lowest common multiple of 106,240,135,816 is 1946160.

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 240 x 135 x 816 = 2802470400

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,240,135,816, is 1.

Now, the common factors can be found like this.

106:2x 53

240:2x 2x 2x 2x 3x 5

135:3x 3x 3x 5

816:2x 2x 2x 2x 3x 17

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 2x 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 2802470400/(1x1440)

LCM = 2802470400/1440

LCM = 1946160

Thus, we can understand that the LCM of 106,240,135,816 is 1946160.

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

• LCM of 588, 958, 464, 834
• LCM of 432, 733, 803, 834
• LCM of 462, 293, 667, 835
• LCM of 496, 455, 300, 523
• LCM of 836, 600, 435, 766

1. What is the LCM of 106, 240, 135, 816?

Answer: LCM of 106, 240, 135, 816 is 1946160.

2. How to calculate the LCM of 106, 240, 135, 816?

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, 240, 135, 816.

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}.