Given numbers are 367,135,353,520,561

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

The LCM of 367,135,353,520,561 is 340133559480.

Find LCM of 367,135,353,520,561 with Prime Factorization

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

3 x 5 x 367 x 9 x 353 x 104 x 187 = 340133559480

Therefore, the lowest common multiple of 367,135,353,520,561 is 340133559480.

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.

367 x 135 x 353 x 520 x 561 = 5102003392200

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.

367 : 1, 367

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

353 : 1, 353

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,135,353,520,561, is 1.

Now, the common factors can be found like this.

367:367

135:3x 3x 3x 5

353:353

520:2x 2x 2x 5x 13

561:3x 11x 17

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 5102003392200/(1x15)

LCM = 5102003392200/15

LCM = 340133559480

Thus, we can understand that the LCM of 367,135,353,520,561 is 340133559480.

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

• LCM of 489, 322, 954, 210, 178
• LCM of 625, 946, 383, 551, 368
• LCM of 823, 207, 477, 898, 888
• LCM of 126, 490, 240, 515, 755
• LCM of 401, 158, 355, 111, 733

1. What is the LCM of 367, 135, 353, 520, 561?

Answer: LCM of 367, 135, 353, 520, 561 is 340133559480.

2. How to calculate the LCM of 367, 135, 353, 520, 561?

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 367, 135, 353, 520, 561.

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}.