Given numbers are 218,271,648,521,143

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

The LCM of 218,271,648,521,143 is 1426082187816.

Find LCM of 218,271,648,521,143 with Prime Factorization

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

2 x 109 x 271 x 324 x 521 x 143 = 1426082187816

Therefore, the lowest common multiple of 218,271,648,521,143 is 1426082187816.

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.

218 x 271 x 648 x 521 x 143 = 2852164375632

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.

218 : 1, 2, 109, 218

271 : 1, 271

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

521 : 1, 521

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,271,648,521,143, is 1.

Now, the common factors can be found like this.

218:2x 109

271:271

648:2x 2x 2x 3x 3x 3x 3

521:521

143:11x 13

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 = 2852164375632/(1x2)

LCM = 2852164375632/2

LCM = 1426082187816

Thus, we can understand that the LCM of 218,271,648,521,143 is 1426082187816.

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

• LCM of 961, 144, 611, 735, 275
• LCM of 649, 504, 295, 261, 296
• LCM of 825, 132, 943, 460, 135
• LCM of 785, 533, 834, 153, 870
• LCM of 337, 134, 433, 125, 404

1. What is the LCM of 218, 271, 648, 521, 143?

Answer: LCM of 218, 271, 648, 521, 143 is 1426082187816.

2. How to calculate the LCM of 218, 271, 648, 521, 143?

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 218, 271, 648, 521, 143.

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}.