Given numbers are 214,731,965,988,514

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

The LCM of 214,731,965,988,514 is 19165428599980.

Find LCM of 214,731,965,988,514 with Prime Factorization

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

2 x 107 x 731 x 965 x 494 x 257 = 19165428599980

Therefore, the lowest common multiple of 214,731,965,988,514 is 19165428599980.

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.

214 x 731 x 965 x 988 x 514 = 76661714399920

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.

214 : 1, 2, 107, 214

731 : 1, 17, 43, 731

965 : 1, 5, 193, 965

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,731,965,988,514, is 1.

Now, the common factors can be found like this.

214:2x 107

731:17x 43

965:5x 193

988:2x 2x 13x 19

514:2x 257

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 = 76661714399920/(1x4)

LCM = 76661714399920/4

LCM = 19165428599980

Thus, we can understand that the LCM of 214,731,965,988,514 is 19165428599980.

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

• LCM of 493, 790, 139, 871, 614
• LCM of 815, 963, 434, 780, 115
• LCM of 109, 948, 408, 272, 631
• LCM of 401, 430, 728, 661, 813
• LCM of 382, 847, 121, 770, 302

1. What is the LCM of 214, 731, 965, 988, 514?

Answer: LCM of 214, 731, 965, 988, 514 is 19165428599980.

2. How to calculate the LCM of 214, 731, 965, 988, 514?

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 214, 731, 965, 988, 514.

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}.