Given numbers are 214,817,401,498,523

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

The LCM of 214,817,401,498,523 is 9130219918626.

Find LCM of 214,817,401,498,523 with Prime Factorization

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

2 x 107 x 817 x 401 x 249 x 523 = 9130219918626

Therefore, the lowest common multiple of 214,817,401,498,523 is 9130219918626.

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.

214 x 817 x 401 x 498 x 523 = 18260439837252

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.

214 : 1, 2, 107, 214

817 : 1, 19, 43, 817

401 : 1, 401

498 : 1, 2, 3, 6, 83, 166, 249, 498

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,817,401,498,523, is 1.

Now, the common factors can be found like this.

214:2x 107

817:19x 43

401:401

498:2x 3x 83

523:523

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18260439837252/(1x2)

LCM = 18260439837252/2

LCM = 9130219918626

Thus, we can understand that the LCM of 214,817,401,498,523 is 9130219918626.

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

• LCM of 419, 248, 716, 154, 573
• LCM of 866, 908, 760, 469, 334
• LCM of 204, 895, 819, 496, 378
• LCM of 552, 399, 621, 885, 699
• LCM of 945, 145, 223, 955, 392

1. What is the LCM of 214, 817, 401, 498, 523?

Answer: LCM of 214, 817, 401, 498, 523 is 9130219918626.

2. How to calculate the LCM of 214, 817, 401, 498, 523?

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 214, 817, 401, 498, 523.

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}.