Given numbers are 364,361,270

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

The LCM of 364,361,270 is 17739540.

Find LCM of 364,361,270 with Prime Factorization

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

2 x 182 x 361 x 135 = 17739540

Therefore, the lowest common multiple of 364,361,270 is 17739540.

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.

364 x 361 x 270 = 35479080

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

361 : 1, 19, 361

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,361,270, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

361:19x 19

270:2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 35479080/(1x2)

LCM = 35479080/2

LCM = 17739540

Thus, we can understand that the LCM of 364,361,270 is 17739540.

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

• LCM of 843, 569, 904
• LCM of 925, 625, 140
• LCM of 232, 904, 329
• LCM of 254, 575, 240
• LCM of 899, 982, 935

1. What is the LCM of 364, 361, 270?

Answer: LCM of 364, 361, 270 is 17739540.

2. How to calculate the LCM of 364, 361, 270?

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 364, 361, 270.

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}.