Given numbers are 684,728,353,424

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

The LCM of 684,728,353,424 is 2329045992.

Find LCM of 684,728,353,424 with Prime Factorization

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

2 x 2 x 2 x 171 x 91 x 353 x 53 = 2329045992

Therefore, the lowest common multiple of 684,728,353,424 is 2329045992.

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 424 = 74529471744

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,728,353,424, 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

424:2x 2x 2x 53

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 2 = 32

Therefore, the value for common factors is 32.

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 = 74529471744/(1x32)

LCM = 74529471744/32

LCM = 2329045992

Thus, we can understand that the LCM of 684,728,353,424 is 2329045992.

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

• LCM of 680, 545, 509, 451
• LCM of 721, 814, 909, 182
• LCM of 855, 956, 624, 793
• LCM of 160, 144, 944, 668
• LCM of 535, 839, 567, 258

1. What is the LCM of 684, 728, 353, 424?

Answer: LCM of 684, 728, 353, 424 is 2329045992.

2. How to calculate the LCM of 684, 728, 353, 424?

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, 424.

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}.