Given numbers are 335,129,916,588,514

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

The LCM of 335,129,916,588,514 is 498493149420.

Find LCM of 335,129,916,588,514 with Prime Factorization

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

2 x 2 x 3 x 335 x 43 x 229 x 49 x 257 = 498493149420

Therefore, the lowest common multiple of 335,129,916,588,514 is 498493149420.

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.

335 x 129 x 916 x 588 x 514 = 11963835586080

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.

335 : 1, 5, 67, 335

129 : 1, 3, 43, 129

916 : 1, 2, 4, 229, 458, 916

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,129,916,588,514, is 1.

Now, the common factors can be found like this.

335:5x 67

129:3x 43

916:2x 2x 229

588:2x 2x 3x 7x 7

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 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 = 11963835586080/(1x24)

LCM = 11963835586080/24

LCM = 498493149420

Thus, we can understand that the LCM of 335,129,916,588,514 is 498493149420.

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

• LCM of 185, 699, 852, 742, 791
• LCM of 822, 830, 688, 710, 398
• LCM of 535, 487, 610, 998, 936
• LCM of 933, 569, 882, 481, 227
• LCM of 983, 762, 313, 855, 310

1. What is the LCM of 335, 129, 916, 588, 514?

Answer: LCM of 335, 129, 916, 588, 514 is 498493149420.

2. How to calculate the LCM of 335, 129, 916, 588, 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 335, 129, 916, 588, 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}.