Given numbers are 438,698,817,696,271

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

The LCM of 438,698,817,696,271 is 3925987152744.

Find LCM of 438,698,817,696,271 with Prime Factorization

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

2 x 3 x 73 x 349 x 817 x 116 x 271 = 3925987152744

Therefore, the lowest common multiple of 438,698,817,696,271 is 3925987152744.

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.

438 x 698 x 817 x 696 x 271 = 47111845832928

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

698 : 1, 2, 349, 698

817 : 1, 19, 43, 817

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,698,817,696,271, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

698:2x 349

817:19x 43

696:2x 2x 2x 3x 29

271:271

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 3 = 12

Therefore, the value for common factors is 12.

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 = 47111845832928/(1x12)

LCM = 47111845832928/12

LCM = 3925987152744

Thus, we can understand that the LCM of 438,698,817,696,271 is 3925987152744.

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

• LCM of 703, 870, 994, 252, 702
• LCM of 817, 343, 229, 284, 726
• LCM of 246, 152, 756, 768, 415
• LCM of 965, 399, 644, 713, 272
• LCM of 978, 295, 811, 849, 374

1. What is the LCM of 438, 698, 817, 696, 271?

Answer: LCM of 438, 698, 817, 696, 271 is 3925987152744.

2. How to calculate the LCM of 438, 698, 817, 696, 271?

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 438, 698, 817, 696, 271.

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}.