Given numbers are 276,332,257,414

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

The LCM of 276,332,257,414 is 17662068.

Find LCM of 276,332,257,414 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 83 x 257 x 3 = 17662068

Therefore, the lowest common multiple of 276,332,257,414 is 17662068.

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 332 x 257 x 414 = 9749461536

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

332 : 1, 2, 4, 83, 166, 332

257 : 1, 257

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,332,257,414, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

332:2x 2x 83

257:257

414:2x 3x 3x 23

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 3x 23 = 552

Therefore, the value for common factors is 552.

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 = 9749461536/(1x552)

LCM = 9749461536/552

LCM = 17662068

Thus, we can understand that the LCM of 276,332,257,414 is 17662068.

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

• LCM of 141, 243, 834, 745
• LCM of 444, 859, 856, 735
• LCM of 546, 839, 111, 647
• LCM of 638, 755, 510, 779
• LCM of 492, 913, 877, 313

1. What is the LCM of 276, 332, 257, 414?

Answer: LCM of 276, 332, 257, 414 is 17662068.

2. How to calculate the LCM of 276, 332, 257, 414?

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, 332, 257, 414.

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}.