Given numbers are 242,595,495,440,352

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

The LCM of 242,595,495,440,352 is 20734560.

Find LCM of 242,595,495,440,352 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 1 x 119 x 9 x 11 x 4 = 20734560

Therefore, the lowest common multiple of 242,595,495,440,352 is 20734560.

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.

242 x 595 x 495 x 440 x 352 = 11039079744000

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.

242 : 1, 2, 11, 22, 121, 242

595 : 1, 5, 7, 17, 35, 85, 119, 595

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,595,495,440,352, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

595:5x 7x 17

495:3x 3x 5x 11

440:2x 2x 2x 5x 11

352:2x 2x 2x 2x 2x 11

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 5x 5x 11x 11x 11 = 532400

Therefore, the value for common factors is 532400.

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 = 11039079744000/(1x532400)

LCM = 11039079744000/532400

LCM = 20734560

Thus, we can understand that the LCM of 242,595,495,440,352 is 20734560.

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

• LCM of 714, 640, 983, 715, 665
• LCM of 106, 389, 372, 135, 271
• LCM of 505, 123, 174, 362, 640
• LCM of 505, 498, 717, 615, 207
• LCM of 988, 580, 909, 333, 608

1. What is the LCM of 242, 595, 495, 440, 352?

Answer: LCM of 242, 595, 495, 440, 352 is 20734560.

2. How to calculate the LCM of 242, 595, 495, 440, 352?

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 242, 595, 495, 440, 352.

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}.