Given numbers are 542,462,284,289

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

The LCM of 542,462,284,289 is 5138039676.

Find LCM of 542,462,284,289 with Prime Factorization

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

2 x 271 x 231 x 142 x 289 = 5138039676

Therefore, the lowest common multiple of 542,462,284,289 is 5138039676.

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.

542 x 462 x 284 x 289 = 20552158704

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.

542 : 1, 2, 271, 542

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

284 : 1, 2, 4, 71, 142, 284

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,462,284,289, is 1.

Now, the common factors can be found like this.

542:2x 271

462:2x 3x 7x 11

284:2x 2x 71

289:17x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 20552158704/(1x4)

LCM = 20552158704/4

LCM = 5138039676

Thus, we can understand that the LCM of 542,462,284,289 is 5138039676.

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

• LCM of 135, 497, 282, 954
• LCM of 355, 993, 228, 467
• LCM of 997, 604, 766, 609
• LCM of 321, 166, 874, 457
• LCM of 542, 813, 409, 864

1. What is the LCM of 542, 462, 284, 289?

Answer: LCM of 542, 462, 284, 289 is 5138039676.

2. How to calculate the LCM of 542, 462, 284, 289?

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 542, 462, 284, 289.

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}.