Given numbers are 965,230,390,324,380

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

The LCM of 965,230,390,324,380 is 1776221460.

Find LCM of 965,230,390,324,380 with Prime Factorization

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

2 x 2 x 3 x 5 x 193 x 23 x 13 x 27 x 19 = 1776221460

Therefore, the lowest common multiple of 965,230,390,324,380 is 1776221460.

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.

965 x 230 x 390 x 324 x 380 = 10657328760000

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.

965 : 1, 5, 193, 965

230 : 1, 2, 5, 10, 23, 46, 115, 230

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,230,390,324,380, is 1.

Now, the common factors can be found like this.

965:5x 193

230:2x 5x 23

390:2x 3x 5x 13

324:2x 2x 3x 3x 3x 3

380:2x 2x 5x 19

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

2x 2x 2x 2x 3x 5x 5x 5 = 6000

Therefore, the value for common factors is 6000.

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 = 10657328760000/(1x6000)

LCM = 10657328760000/6000

LCM = 1776221460

Thus, we can understand that the LCM of 965,230,390,324,380 is 1776221460.

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

• LCM of 888, 314, 403, 256, 772
• LCM of 271, 950, 830, 712, 980
• LCM of 833, 766, 544, 184, 470
• LCM of 823, 753, 909, 837, 985
• LCM of 781, 247, 342, 707, 315

1. What is the LCM of 965, 230, 390, 324, 380?

Answer: LCM of 965, 230, 390, 324, 380 is 1776221460.

2. How to calculate the LCM of 965, 230, 390, 324, 380?

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 965, 230, 390, 324, 380.

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}.