Given numbers are 814,331,122,342,516

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

The LCM of 814,331,122,342,516 is 241700080644.

Find LCM of 814,331,122,342,516 with Prime Factorization

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

2 x 3 x 407 x 331 x 61 x 57 x 86 = 241700080644

Therefore, the lowest common multiple of 814,331,122,342,516 is 241700080644.

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.

814 x 331 x 122 x 342 x 516 = 5800801935456

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.

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

331 : 1, 331

122 : 1, 2, 61, 122

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,331,122,342,516, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

331:331

122:2x 61

342:2x 3x 3x 19

516:2x 2x 3x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5800801935456/(1x24)

LCM = 5800801935456/24

LCM = 241700080644

Thus, we can understand that the LCM of 814,331,122,342,516 is 241700080644.

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

• LCM of 763, 328, 720, 285, 978
• LCM of 919, 101, 258, 845, 721
• LCM of 973, 719, 241, 837, 436
• LCM of 242, 493, 843, 869, 722
• LCM of 285, 988, 136, 541, 803

1. What is the LCM of 814, 331, 122, 342, 516?

Answer: LCM of 814, 331, 122, 342, 516 is 241700080644.

2. How to calculate the LCM of 814, 331, 122, 342, 516?

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 814, 331, 122, 342, 516.

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}.