Given numbers are 706,344,624,728

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

The LCM of 706,344,624,728 is 66301872.

Find LCM of 706,344,624,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 353 x 43 x 6 x 7 = 66301872

Therefore, the lowest common multiple of 706,344,624,728 is 66301872.

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.

706 x 344 x 624 x 728 = 110326315008

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.

706 : 1, 2, 353, 706

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,344,624,728, is 2.

Now, the common factors can be found like this.

706:2x 353

344:2x 2x 2x 43

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

728:2x 2x 2x 7x 13

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 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 110326315008/(2x832)

LCM = 110326315008/1664

LCM = 66301872

Thus, we can understand that the LCM of 706,344,624,728 is 66301872.

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

• LCM of 371, 405, 610, 321
• LCM of 472, 334, 908, 913
• LCM of 769, 287, 413, 427
• LCM of 323, 930, 801, 608
• LCM of 897, 875, 137, 634

1. What is the LCM of 706, 344, 624, 728?

Answer: LCM of 706, 344, 624, 728 is 66301872.

2. How to calculate the LCM of 706, 344, 624, 728?

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 706, 344, 624, 728.

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}.