Given numbers are 336,406,351,756,267

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

The LCM of 336,406,351,756,267 is 101464272.

Find LCM of 336,406,351,756,267 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 4 x 29 x 13 x 1 x 89 = 101464272

Therefore, the lowest common multiple of 336,406,351,756,267 is 101464272.

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.

336 x 406 x 351 x 756 x 267 = 9665080693632

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.

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

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,406,351,756,267, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

406:2x 7x 29

351:3x 3x 3x 13

756:2x 2x 3x 3x 3x 7

267:3x 89

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 3x 3x 3x 3x 7x 7 = 95256

Therefore, the value for common factors is 95256.

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 = 9665080693632/(1x95256)

LCM = 9665080693632/95256

LCM = 101464272

Thus, we can understand that the LCM of 336,406,351,756,267 is 101464272.

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

• LCM of 133, 601, 945, 162, 326
• LCM of 183, 487, 371, 407, 551
• LCM of 698, 297, 674, 814, 166
• LCM of 365, 636, 405, 467, 618
• LCM of 961, 902, 469, 938, 633

1. What is the LCM of 336, 406, 351, 756, 267?

Answer: LCM of 336, 406, 351, 756, 267 is 101464272.

2. How to calculate the LCM of 336, 406, 351, 756, 267?

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 336, 406, 351, 756, 267.

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}.