Given numbers are 172,269,176,426,381

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

The LCM of 172,269,176,426,381 is 55070209392.

Find LCM of 172,269,176,426,381 with Prime Factorization

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

2 x 2 x 3 x 43 x 269 x 44 x 71 x 127 = 55070209392

Therefore, the lowest common multiple of 172,269,176,426,381 is 55070209392.

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.

172 x 269 x 176 x 426 x 381 = 1321685025408

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.

172 : 1, 2, 4, 43, 86, 172

269 : 1, 269

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,269,176,426,381, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

269:269

176:2x 2x 2x 2x 11

426:2x 3x 71

381:3x 127

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1321685025408/(1x24)

LCM = 1321685025408/24

LCM = 55070209392

Thus, we can understand that the LCM of 172,269,176,426,381 is 55070209392.

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

• LCM of 897, 949, 584, 103, 905
• LCM of 105, 365, 967, 359, 232
• LCM of 406, 266, 157, 661, 537
• LCM of 858, 418, 891, 676, 925
• LCM of 841, 394, 381, 162, 155

1. What is the LCM of 172, 269, 176, 426, 381?

Answer: LCM of 172, 269, 176, 426, 381 is 55070209392.

2. How to calculate the LCM of 172, 269, 176, 426, 381?

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 172, 269, 176, 426, 381.

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}.