Given numbers are 135,229,273,242,412

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

The LCM of 135,229,273,242,412 is 140246886780.

Find LCM of 135,229,273,242,412 with Prime Factorization

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

2 x 3 x 45 x 229 x 91 x 121 x 206 = 140246886780

Therefore, the lowest common multiple of 135,229,273,242,412 is 140246886780.

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 229 x 273 x 242 x 412 = 841481320680

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

229 : 1, 229

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,229,273,242,412, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

229:229

273:3x 7x 13

242:2x 11x 11

412:2x 2x 103

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 841481320680/(1x6)

LCM = 841481320680/6

LCM = 140246886780

Thus, we can understand that the LCM of 135,229,273,242,412 is 140246886780.

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

• LCM of 736, 426, 367, 311, 415
• LCM of 241, 173, 726, 834, 417
• LCM of 579, 913, 603, 159, 558
• LCM of 867, 315, 445, 530, 948
• LCM of 792, 138, 598, 621, 345

1. What is the LCM of 135, 229, 273, 242, 412?

Answer: LCM of 135, 229, 273, 242, 412 is 140246886780.

2. How to calculate the LCM of 135, 229, 273, 242, 412?

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, 229, 273, 242, 412.

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}.