Given numbers are 516,341,306,741,858

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

The LCM of 516,341,306,741,858 is 2216517732.

Find LCM of 516,341,306,741,858 with Prime Factorization

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

2 x 3 x 11 x 13 x 86 x 31 x 51 x 19 x 1 = 2216517732

Therefore, the lowest common multiple of 516,341,306,741,858 is 2216517732.

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.

516 x 341 x 306 x 741 x 858 = 34231899853008

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.

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

341 : 1, 11, 31, 341

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

741 : 1, 3, 13, 19, 39, 57, 247, 741

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,341,306,741,858, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

341:11x 31

306:2x 3x 3x 17

741:3x 13x 19

858:2x 3x 11x 13

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 3x 3x 3x 11x 13 = 15444

Therefore, the value for common factors is 15444.

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 = 34231899853008/(1x15444)

LCM = 34231899853008/15444

LCM = 2216517732

Thus, we can understand that the LCM of 516,341,306,741,858 is 2216517732.

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

• LCM of 241, 117, 405, 323, 955
• LCM of 586, 236, 948, 322, 595
• LCM of 294, 233, 746, 391, 770
• LCM of 175, 787, 993, 527, 226
• LCM of 510, 238, 871, 317, 202

1. What is the LCM of 516, 341, 306, 741, 858?

Answer: LCM of 516, 341, 306, 741, 858 is 2216517732.

2. How to calculate the LCM of 516, 341, 306, 741, 858?

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 516, 341, 306, 741, 858.

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}.