Given numbers are 135,894,576,247,442

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

The LCM of 135,894,576,247,442 is 5405624640.

Find LCM of 135,894,576,247,442 with Prime Factorization

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

2 x 3 x 3 x 13 x 15 x 149 x 32 x 19 x 17 = 5405624640

Therefore, the lowest common multiple of 135,894,576,247,442 is 5405624640.

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.

135 x 894 x 576 x 247 x 442 = 7589496994560

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

894 : 1, 2, 3, 6, 149, 298, 447, 894

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

247 : 1, 13, 19, 247

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,894,576,247,442, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

894:2x 3x 149

576:2x 2x 2x 2x 2x 2x 3x 3

247:13x 19

442:2x 13x 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 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 7589496994560/(1x1404)

LCM = 7589496994560/1404

LCM = 5405624640

Thus, we can understand that the LCM of 135,894,576,247,442 is 5405624640.

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

• LCM of 763, 538, 356, 930, 662
• LCM of 299, 496, 484, 119, 517
• LCM of 729, 819, 467, 412, 938
• LCM of 740, 536, 322, 225, 413
• LCM of 495, 562, 285, 289, 745

1. What is the LCM of 135, 894, 576, 247, 442?

Answer: LCM of 135, 894, 576, 247, 442 is 5405624640.

2. How to calculate the LCM of 135, 894, 576, 247, 442?

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 135, 894, 576, 247, 442.

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}.