Given numbers are 365,135,895,328

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

The LCM of 365,135,895,328 is 578606760.

Find LCM of 365,135,895,328 with Prime Factorization

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

5 x 73 x 27 x 179 x 328 = 578606760

Therefore, the lowest common multiple of 365,135,895,328 is 578606760.

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.

365 x 135 x 895 x 328 = 14465169000

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.

365 : 1, 5, 73, 365

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

895 : 1, 5, 179, 895

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,135,895,328, is 1.

Now, the common factors can be found like this.

365:5x 73

135:3x 3x 3x 5

895:5x 179

328:2x 2x 2x 41

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 = 14465169000/(1x25)

LCM = 14465169000/25

LCM = 578606760

Thus, we can understand that the LCM of 365,135,895,328 is 578606760.

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

• LCM of 206, 617, 368, 627
• LCM of 398, 703, 345, 950
• LCM of 604, 144, 982, 122
• LCM of 286, 364, 377, 745
• LCM of 355, 739, 239, 585

1. What is the LCM of 365, 135, 895, 328?

Answer: LCM of 365, 135, 895, 328 is 578606760.

2. How to calculate the LCM of 365, 135, 895, 328?

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 365, 135, 895, 328.

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}.