Given numbers are 363,132,208,514

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

The LCM of 363,132,208,514 is 19404528.

Find LCM of 363,132,208,514 with Prime Factorization

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

2 x 2 x 3 x 11 x 1 x 11 x 52 x 257 = 19404528

Therefore, the lowest common multiple of 363,132,208,514 is 19404528.

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.

363 x 132 x 208 x 514 = 5122795392

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.

363 : 1, 3, 11, 33, 121, 363

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,132,208,514, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

132:2x 2x 3x 11

208:2x 2x 2x 2x 13

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 5122795392/(1x264)

LCM = 5122795392/264

LCM = 19404528

Thus, we can understand that the LCM of 363,132,208,514 is 19404528.

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

• LCM of 610, 398, 778, 813
• LCM of 457, 205, 684, 602
• LCM of 714, 158, 410, 282
• LCM of 581, 697, 211, 261
• LCM of 651, 110, 978, 547

1. What is the LCM of 363, 132, 208, 514?

Answer: LCM of 363, 132, 208, 514 is 19404528.

2. How to calculate the LCM of 363, 132, 208, 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 363, 132, 208, 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}.