Given numbers are 271,242,814,176

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

The LCM of 271,242,814,176 is 19412272.

Find LCM of 271,242,814,176 with Prime Factorization

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

2 x 11 x 271 x 11 x 37 x 8 = 19412272

Therefore, the lowest common multiple of 271,242,814,176 is 19412272.

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.

271 x 242 x 814 x 176 = 9395539648

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.

271 : 1, 271

242 : 1, 2, 11, 22, 121, 242

814 : 1, 2, 11, 22, 37, 74, 407, 814

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,242,814,176, is 1.

Now, the common factors can be found like this.

271:271

242:2x 11x 11

814:2x 11x 37

176:2x 2x 2x 2x 11

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 9395539648/(1x484)

LCM = 9395539648/484

LCM = 19412272

Thus, we can understand that the LCM of 271,242,814,176 is 19412272.

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

• LCM of 487, 955, 825, 677
• LCM of 348, 882, 392, 997
• LCM of 182, 930, 166, 831
• LCM of 390, 804, 190, 546
• LCM of 603, 900, 569, 802

1. What is the LCM of 271, 242, 814, 176?

Answer: LCM of 271, 242, 814, 176 is 19412272.

2. How to calculate the LCM of 271, 242, 814, 176?

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 271, 242, 814, 176.

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}.