Given numbers are 135,538,193,312

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

The LCM of 135,538,193,312 is 728914680.

Find LCM of 135,538,193,312 with Prime Factorization

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

2 x 3 x 45 x 269 x 193 x 52 = 728914680

Therefore, the lowest common multiple of 135,538,193,312 is 728914680.

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 538 x 193 x 312 = 4373488080

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

538 : 1, 2, 269, 538

193 : 1, 193

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,538,193,312, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

538:2x 269

193:193

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4373488080/(1x6)

LCM = 4373488080/6

LCM = 728914680

Thus, we can understand that the LCM of 135,538,193,312 is 728914680.

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

• LCM of 330, 111, 638, 961
• LCM of 106, 349, 953, 569
• LCM of 927, 982, 889, 498
• LCM of 525, 389, 306, 344
• LCM of 341, 101, 257, 320

1. What is the LCM of 135, 538, 193, 312?

Answer: LCM of 135, 538, 193, 312 is 728914680.

2. How to calculate the LCM of 135, 538, 193, 312?

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, 538, 193, 312.

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}.