Given numbers are 542,814,824,331

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

The LCM of 542,814,824,331 is 30082844968.

Find LCM of 542,814,824,331 with Prime Factorization

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

2 x 271 x 407 x 412 x 331 = 30082844968

Therefore, the lowest common multiple of 542,814,824,331 is 30082844968.

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 814 x 824 x 331 = 120331379872

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

824 : 1, 2, 4, 8, 103, 206, 412, 824

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,814,824,331, is 1.

Now, the common factors can be found like this.

542:2x 271

814:2x 11x 37

824:2x 2x 2x 103

331:331

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 = 120331379872/(1x4)

LCM = 120331379872/4

LCM = 30082844968

Thus, we can understand that the LCM of 542,814,824,331 is 30082844968.

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

• LCM of 442, 424, 310, 648
• LCM of 817, 558, 680, 804
• LCM of 986, 375, 184, 247
• LCM of 204, 420, 442, 786
• LCM of 257, 632, 323, 340

1. What is the LCM of 542, 814, 824, 331?

Answer: LCM of 542, 814, 824, 331 is 30082844968.

2. How to calculate the LCM of 542, 814, 824, 331?

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, 814, 824, 331.

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}.