Given numbers are 242,458,517,135

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

The LCM of 242,458,517,135 is 351627210.

Find LCM of 242,458,517,135 with Prime Factorization

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

2 x 11 x 11 x 229 x 47 x 135 = 351627210

Therefore, the lowest common multiple of 242,458,517,135 is 351627210.

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 458 x 517 x 135 = 7735798620

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

458 : 1, 2, 229, 458

517 : 1, 11, 47, 517

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,458,517,135, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

458:2x 229

517:11x 47

135:3x 3x 3x 5

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 7735798620/(1x22)

LCM = 7735798620/22

LCM = 351627210

Thus, we can understand that the LCM of 242,458,517,135 is 351627210.

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

• LCM of 180, 493, 362, 396
• LCM of 750, 146, 819, 772
• LCM of 355, 587, 716, 424
• LCM of 579, 696, 166, 945
• LCM of 749, 239, 268, 308

1. What is the LCM of 242, 458, 517, 135?

Answer: LCM of 242, 458, 517, 135 is 351627210.

2. How to calculate the LCM of 242, 458, 517, 135?

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, 458, 517, 135.

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}.