Given numbers are 242,736,386,420,131

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

The LCM of 242,736,386,420,131 is 236418299040.

Find LCM of 242,736,386,420,131 with Prime Factorization

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

2 x 2 x 121 x 184 x 193 x 105 x 131 = 236418299040

Therefore, the lowest common multiple of 242,736,386,420,131 is 236418299040.

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 736 x 386 x 420 x 131 = 3782692784640

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

386 : 1, 2, 193, 386

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,736,386,420,131, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

736:2x 2x 2x 2x 2x 23

386:2x 193

420:2x 2x 3x 5x 7

131:131

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3782692784640/(1x16)

LCM = 3782692784640/16

LCM = 236418299040

Thus, we can understand that the LCM of 242,736,386,420,131 is 236418299040.

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

• LCM of 330, 119, 713, 152, 824
• LCM of 797, 400, 568, 132, 114
• LCM of 958, 595, 966, 906, 638
• LCM of 655, 796, 623, 413, 704
• LCM of 688, 665, 656, 198, 819

1. What is the LCM of 242, 736, 386, 420, 131?

Answer: LCM of 242, 736, 386, 420, 131 is 236418299040.

2. How to calculate the LCM of 242, 736, 386, 420, 131?

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, 736, 386, 420, 131.

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}.