Given numbers are 542,238,187,608,402

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

The LCM of 542,238,187,608,402 is 43351943712.

Find LCM of 542,238,187,608,402 with Prime Factorization

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

2 x 17 x 271 x 7 x 11 x 304 x 201 = 43351943712

Therefore, the lowest common multiple of 542,238,187,608,402 is 43351943712.

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 238 x 187 x 608 x 402 = 5895864344832

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

187 : 1, 11, 17, 187

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,238,187,608,402, is 1.

Now, the common factors can be found like this.

542:2x 271

238:2x 7x 17

187:11x 17

608:2x 2x 2x 2x 2x 19

402:2x 3x 67

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 17 = 136

Therefore, the value for common factors is 136.

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 = 5895864344832/(1x136)

LCM = 5895864344832/136

LCM = 43351943712

Thus, we can understand that the LCM of 542,238,187,608,402 is 43351943712.

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

• LCM of 821, 535, 707, 309, 724
• LCM of 332, 485, 268, 819, 306
• LCM of 340, 469, 518, 523, 131
• LCM of 505, 868, 543, 455, 858
• LCM of 285, 264, 998, 329, 155

1. What is the LCM of 542, 238, 187, 608, 402?

Answer: LCM of 542, 238, 187, 608, 402 is 43351943712.

2. How to calculate the LCM of 542, 238, 187, 608, 402?

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, 238, 187, 608, 402.

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}.