Given numbers are 201,264,822,982,340

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

The LCM of 201,264,822,982,340 is 101134589160.

Find LCM of 201,264,822,982,340 with Prime Factorization

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

2 x 2 x 3 x 67 x 22 x 137 x 491 x 85 = 101134589160

Therefore, the lowest common multiple of 201,264,822,982,340 is 101134589160.

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.

201 x 264 x 822 x 982 x 340 = 14563380839040

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.

201 : 1, 3, 67, 201

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

822 : 1, 2, 3, 6, 137, 274, 411, 822

982 : 1, 2, 491, 982

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,264,822,982,340, is 1.

Now, the common factors can be found like this.

201:3x 67

264:2x 2x 2x 3x 11

822:2x 3x 137

982:2x 491

340:2x 2x 5x 17

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 14563380839040/(1x144)

LCM = 14563380839040/144

LCM = 101134589160

Thus, we can understand that the LCM of 201,264,822,982,340 is 101134589160.

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

• LCM of 533, 192, 255, 477, 762
• LCM of 131, 465, 165, 148, 690
• LCM of 951, 306, 378, 823, 405
• LCM of 377, 958, 794, 376, 851
• LCM of 758, 522, 551, 307, 855

1. What is the LCM of 201, 264, 822, 982, 340?

Answer: LCM of 201, 264, 822, 982, 340 is 101134589160.

2. How to calculate the LCM of 201, 264, 822, 982, 340?

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 201, 264, 822, 982, 340.

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}.