Given numbers are 624,364,514,684,207

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

The LCM of 624,364,514,684,207 is 1471697136.

Find LCM of 624,364,514,684,207 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 4 x 7 x 257 x 19 x 23 = 1471697136

Therefore, the lowest common multiple of 624,364,514,684,207 is 1471697136.

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.

624 x 364 x 514 x 684 x 207 = 16530102231552

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

514 : 1, 2, 257, 514

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,364,514,684,207, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

364:2x 2x 7x 13

514:2x 257

684:2x 2x 3x 3x 19

207:3x 3x 23

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 2x 2x 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 16530102231552/(1x11232)

LCM = 16530102231552/11232

LCM = 1471697136

Thus, we can understand that the LCM of 624,364,514,684,207 is 1471697136.

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

• LCM of 792, 887, 349, 337, 801
• LCM of 471, 643, 880, 759, 814
• LCM of 177, 737, 419, 208, 434
• LCM of 841, 884, 276, 736, 201
• LCM of 280, 583, 454, 354, 742

1. What is the LCM of 624, 364, 514, 684, 207?

Answer: LCM of 624, 364, 514, 684, 207 is 1471697136.

2. How to calculate the LCM of 624, 364, 514, 684, 207?

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 624, 364, 514, 684, 207.

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}.