Given numbers are 338,286,154,676,171

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

The LCM of 338,286,154,676,171 is 8900892.

Find LCM of 338,286,154,676,171 with Prime Factorization

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

2 x 11 x 13 x 13 x 1 x 1 x 7 x 2 x 171 = 8900892

Therefore, the lowest common multiple of 338,286,154,676,171 is 8900892.

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.

338 x 286 x 154 x 676 x 171 = 1720862855712

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.

338 : 1, 2, 13, 26, 169, 338

286 : 1, 2, 11, 13, 22, 26, 143, 286

154 : 1, 2, 7, 11, 14, 22, 77, 154

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,286,154,676,171, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

286:2x 11x 13

154:2x 7x 11

676:2x 2x 13x 13

171:3x 3x 19

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 11x 13x 13x 13 = 193336

Therefore, the value for common factors is 193336.

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 = 1720862855712/(1x193336)

LCM = 1720862855712/193336

LCM = 8900892

Thus, we can understand that the LCM of 338,286,154,676,171 is 8900892.

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

• LCM of 391, 503, 828, 938, 320
• LCM of 316, 218, 171, 761, 114
• LCM of 372, 666, 933, 990, 848
• LCM of 839, 952, 605, 708, 759
• LCM of 514, 693, 827, 912, 533

1. What is the LCM of 338, 286, 154, 676, 171?

Answer: LCM of 338, 286, 154, 676, 171 is 8900892.

2. How to calculate the LCM of 338, 286, 154, 676, 171?

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 338, 286, 154, 676, 171.

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}.