Given numbers are 321,192,235,135

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

The LCM of 321,192,235,135 is 43450560.

Find LCM of 321,192,235,135 with Prime Factorization

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

3 x 5 x 107 x 64 x 47 x 9 = 43450560

Therefore, the lowest common multiple of 321,192,235,135 is 43450560.

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.

321 x 192 x 235 x 135 = 1955275200

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.

321 : 1, 3, 107, 321

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

235 : 1, 5, 47, 235

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,192,235,135, is 1.

Now, the common factors can be found like this.

321:3x 107

192:2x 2x 2x 2x 2x 2x 3

235:5x 47

135:3x 3x 3x 5

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 1955275200/(1x45)

LCM = 1955275200/45

LCM = 43450560

Thus, we can understand that the LCM of 321,192,235,135 is 43450560.

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

• LCM of 694, 332, 628, 452
• LCM of 769, 402, 713, 789
• LCM of 164, 538, 238, 692
• LCM of 941, 657, 401, 428
• LCM of 593, 650, 542, 308

1. What is the LCM of 321, 192, 235, 135?

Answer: LCM of 321, 192, 235, 135 is 43450560.

2. How to calculate the LCM of 321, 192, 235, 135?

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 321, 192, 235, 135.

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}.