Given numbers are 267,672,381,235,687

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

The LCM of 267,672,381,235,687 is 408758075040.

Find LCM of 267,672,381,235,687 with Prime Factorization

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

3 x 89 x 224 x 127 x 235 x 229 = 408758075040

Therefore, the lowest common multiple of 267,672,381,235,687 is 408758075040.

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.

267 x 672 x 381 x 235 x 687 = 11036468026080

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.

267 : 1, 3, 89, 267

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

381 : 1, 3, 127, 381

235 : 1, 5, 47, 235

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,672,381,235,687, is 1.

Now, the common factors can be found like this.

267:3x 89

672:2x 2x 2x 2x 2x 3x 7

381:3x 127

235:5x 47

687:3x 229

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 11036468026080/(1x27)

LCM = 11036468026080/27

LCM = 408758075040

Thus, we can understand that the LCM of 267,672,381,235,687 is 408758075040.

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

• LCM of 749, 281, 470, 428, 684
• LCM of 915, 794, 776, 175, 203
• LCM of 501, 759, 879, 751, 614
• LCM of 342, 276, 729, 653, 491
• LCM of 678, 743, 261, 432, 483

1. What is the LCM of 267, 672, 381, 235, 687?

Answer: LCM of 267, 672, 381, 235, 687 is 408758075040.

2. How to calculate the LCM of 267, 672, 381, 235, 687?

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 267, 672, 381, 235, 687.

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}.