Given numbers are 149,176,215,814

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

The LCM of 149,176,215,814 is 208611920.

Find LCM of 149,176,215,814 with Prime Factorization

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

2 x 11 x 149 x 8 x 215 x 37 = 208611920

Therefore, the lowest common multiple of 149,176,215,814 is 208611920.

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.

149 x 176 x 215 x 814 = 4589462240

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.

149 : 1, 149

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

215 : 1, 5, 43, 215

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,176,215,814, is 1.

Now, the common factors can be found like this.

149:149

176:2x 2x 2x 2x 11

215:5x 43

814:2x 11x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 4589462240/(1x22)

LCM = 4589462240/22

LCM = 208611920

Thus, we can understand that the LCM of 149,176,215,814 is 208611920.

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

• LCM of 636, 473, 139, 400
• LCM of 369, 370, 426, 525
• LCM of 343, 357, 778, 361
• LCM of 458, 471, 810, 508
• LCM of 820, 707, 381, 536

1. What is the LCM of 149, 176, 215, 814?

Answer: LCM of 149, 176, 215, 814 is 208611920.

2. How to calculate the LCM of 149, 176, 215, 814?

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 149, 176, 215, 814.

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}.