Given numbers are 239,294,271,406

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

The LCM of 239,294,271,406 is 552220494.

Find LCM of 239,294,271,406 with Prime Factorization

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

2 x 7 x 239 x 21 x 271 x 29 = 552220494

Therefore, the lowest common multiple of 239,294,271,406 is 552220494.

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.

239 x 294 x 271 x 406 = 7731086916

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.

239 : 1, 239

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

271 : 1, 271

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,294,271,406, is 1.

Now, the common factors can be found like this.

239:239

294:2x 3x 7x 7

271:271

406:2x 7x 29

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 7731086916/(1x14)

LCM = 7731086916/14

LCM = 552220494

Thus, we can understand that the LCM of 239,294,271,406 is 552220494.

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

• LCM of 206, 661, 422, 861
• LCM of 474, 236, 802, 264
• LCM of 868, 139, 510, 674
• LCM of 688, 472, 812, 374
• LCM of 987, 664, 201, 611

1. What is the LCM of 239, 294, 271, 406?

Answer: LCM of 239, 294, 271, 406 is 552220494.

2. How to calculate the LCM of 239, 294, 271, 406?

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 239, 294, 271, 406.

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}.