Given numbers are 135,815,400,353

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

The LCM of 135,815,400,353 is 621421200.

Find LCM of 135,815,400,353 with Prime Factorization

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

5 x 27 x 163 x 80 x 353 = 621421200

Therefore, the lowest common multiple of 135,815,400,353 is 621421200.

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 815 x 400 x 353 = 15535530000

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

815 : 1, 5, 163, 815

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,815,400,353, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

815:5x 163

400:2x 2x 2x 2x 5x 5

353:353

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 15535530000/(1x25)

LCM = 15535530000/25

LCM = 621421200

Thus, we can understand that the LCM of 135,815,400,353 is 621421200.

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

• LCM of 637, 805, 961, 288
• LCM of 146, 305, 451, 196
• LCM of 586, 726, 465, 490
• LCM of 675, 317, 636, 536
• LCM of 312, 756, 704, 681

1. What is the LCM of 135, 815, 400, 353?

Answer: LCM of 135, 815, 400, 353 is 621421200.

2. How to calculate the LCM of 135, 815, 400, 353?

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, 815, 400, 353.

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}.