Given numbers are 276,793,447,355,360

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

The LCM of 276,793,447,355,360 is 69462137160.

Find LCM of 276,793,447,355,360 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 793 x 149 x 71 x 6 = 69462137160

Therefore, the lowest common multiple of 276,793,447,355,360 is 69462137160.

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.

276 x 793 x 447 x 355 x 360 = 12503184688800

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

793 : 1, 13, 61, 793

447 : 1, 3, 149, 447

355 : 1, 5, 71, 355

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,793,447,355,360, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

793:13x 61

447:3x 149

355:5x 71

360:2x 2x 2x 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.

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 12503184688800/(1x180)

LCM = 12503184688800/180

LCM = 69462137160

Thus, we can understand that the LCM of 276,793,447,355,360 is 69462137160.

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

• LCM of 795, 245, 916, 452, 393
• LCM of 420, 340, 577, 252, 738
• LCM of 547, 224, 505, 717, 457
• LCM of 803, 713, 264, 499, 213
• LCM of 538, 541, 840, 681, 541

1. What is the LCM of 276, 793, 447, 355, 360?

Answer: LCM of 276, 793, 447, 355, 360 is 69462137160.

2. How to calculate the LCM of 276, 793, 447, 355, 360?

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 276, 793, 447, 355, 360.

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}.