Given numbers are 684,728,353,467,683

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

The LCM of 684,728,353,467,683 is 14016506389704.

Find LCM of 684,728,353,467,683 with Prime Factorization

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

2 x 2 x 171 x 182 x 353 x 467 x 683 = 14016506389704

Therefore, the lowest common multiple of 684,728,353,467,683 is 14016506389704.

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.

684 x 728 x 353 x 467 x 683 = 56066025558816

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.

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

353 : 1, 353

467 : 1, 467

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,728,353,467,683, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

728:2x 2x 2x 7x 13

353:353

467:467

683:683

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 = 56066025558816/(1x4)

LCM = 56066025558816/4

LCM = 14016506389704

Thus, we can understand that the LCM of 684,728,353,467,683 is 14016506389704.

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

• LCM of 910, 104, 146, 694, 301
• LCM of 865, 520, 679, 443, 272
• LCM of 108, 255, 614, 286, 593
• LCM of 669, 985, 904, 914, 839
• LCM of 164, 745, 173, 659, 254

1. What is the LCM of 684, 728, 353, 467, 683?

Answer: LCM of 684, 728, 353, 467, 683 is 14016506389704.

2. How to calculate the LCM of 684, 728, 353, 467, 683?

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 684, 728, 353, 467, 683.

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}.