Given numbers are 366,432,144,149

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

The LCM of 366,432,144,149 is 3926448.

Find LCM of 366,432,144,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 61 x 1 x 3 x 149 = 3926448

Therefore, the lowest common multiple of 366,432,144,149 is 3926448.

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.

366 x 432 x 144 x 149 = 3392451072

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,432,144,149, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

432:2x 2x 2x 2x 3x 3x 3

144:2x 2x 2x 2x 3x 3

149:149

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 3 = 864

Therefore, the value for common factors is 864.

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 = 3392451072/(1x864)

LCM = 3392451072/864

LCM = 3926448

Thus, we can understand that the LCM of 366,432,144,149 is 3926448.

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

• LCM of 467, 282, 655, 425
• LCM of 772, 682, 893, 572
• LCM of 245, 159, 799, 326
• LCM of 595, 585, 550, 615
• LCM of 132, 194, 912, 315

1. What is the LCM of 366, 432, 144, 149?

Answer: LCM of 366, 432, 144, 149 is 3926448.

2. How to calculate the LCM of 366, 432, 144, 149?

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 366, 432, 144, 149.

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}.