Given numbers are 135,312,223,366

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

The LCM of 135,312,223,366 is 190986120.

Find LCM of 135,312,223,366 with Prime Factorization

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

2 x 3 x 45 x 52 x 223 x 61 = 190986120

Therefore, the lowest common multiple of 135,312,223,366 is 190986120.

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.

135 x 312 x 223 x 366 = 3437750160

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.

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

223 : 1, 223

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,312,223,366, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

312:2x 2x 2x 3x 13

223:223

366:2x 3x 61

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3437750160/(1x18)

LCM = 3437750160/18

LCM = 190986120

Thus, we can understand that the LCM of 135,312,223,366 is 190986120.

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

• LCM of 695, 527, 396, 374
• LCM of 864, 736, 191, 743
• LCM of 297, 502, 620, 815
• LCM of 372, 172, 506, 175
• LCM of 884, 308, 152, 373

1. What is the LCM of 135, 312, 223, 366?

Answer: LCM of 135, 312, 223, 366 is 190986120.

2. How to calculate the LCM of 135, 312, 223, 366?

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 135, 312, 223, 366.

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}.