Given numbers are 728,312,746,508,106

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

The LCM of 728,312,746,508,106 is 5483287992.

Find LCM of 728,312,746,508,106 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 3 x 373 x 127 x 53 = 5483287992

Therefore, the lowest common multiple of 728,312,746,508,106 is 5483287992.

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.

728 x 312 x 746 x 508 x 106 = 9124191218688

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.

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

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

746 : 1, 2, 373, 746

508 : 1, 2, 4, 127, 254, 508

106 : 1, 2, 53, 106

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,312,746,508,106, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

312:2x 2x 2x 3x 13

746:2x 373

508:2x 2x 127

106:2x 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 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 = 9124191218688/(2x832)

LCM = 9124191218688/1664

LCM = 5483287992

Thus, we can understand that the LCM of 728,312,746,508,106 is 5483287992.

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

• LCM of 353, 337, 895, 994, 308
• LCM of 625, 916, 745, 451, 344
• LCM of 108, 473, 371, 272, 786
• LCM of 113, 616, 987, 634, 417
• LCM of 113, 485, 145, 724, 533

1. What is the LCM of 728, 312, 746, 508, 106?

Answer: LCM of 728, 312, 746, 508, 106 is 5483287992.

2. How to calculate the LCM of 728, 312, 746, 508, 106?

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 728, 312, 746, 508, 106.

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}.