Given numbers are 276,391,793,168,224

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

The LCM of 276,391,793,168,224 is 208362336.

Find LCM of 276,391,793,168,224 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 23 x 1 x 17 x 793 x 1 x 4 = 208362336

Therefore, the lowest common multiple of 276,391,793,168,224 is 208362336.

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 391 x 793 x 168 x 224 = 3220448265216

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

391 : 1, 17, 23, 391

793 : 1, 13, 61, 793

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,391,793,168,224, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

391:17x 23

793:13x 61

168:2x 2x 2x 3x 7

224:2x 2x 2x 2x 2x 7

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 2x 3x 7x 23 = 15456

Therefore, the value for common factors is 15456.

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 = 3220448265216/(1x15456)

LCM = 3220448265216/15456

LCM = 208362336

Thus, we can understand that the LCM of 276,391,793,168,224 is 208362336.

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

• LCM of 394, 382, 434, 817, 731
• LCM of 603, 885, 479, 906, 804
• LCM of 258, 499, 787, 671, 885
• LCM of 973, 655, 634, 326, 456
• LCM of 150, 835, 162, 140, 146

1. What is the LCM of 276, 391, 793, 168, 224?

Answer: LCM of 276, 391, 793, 168, 224 is 208362336.

2. How to calculate the LCM of 276, 391, 793, 168, 224?

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, 391, 793, 168, 224.

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}.