Given numbers are 736,308,553,312,728

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

The LCM of 736,308,553,312,728 is 174606432.

Find LCM of 736,308,553,312,728 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 92 x 11 x 79 x 3 x 1 = 174606432

Therefore, the lowest common multiple of 736,308,553,312,728 is 174606432.

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.

736 x 308 x 553 x 312 x 728 = 28473420079104

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

553 : 1, 7, 79, 553

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,308,553,312,728, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

308:2x 2x 7x 11

553:7x 79

312:2x 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 2x 2x 7x 7x 13 = 163072

Therefore, the value for common factors is 163072.

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 = 28473420079104/(1x163072)

LCM = 28473420079104/163072

LCM = 174606432

Thus, we can understand that the LCM of 736,308,553,312,728 is 174606432.

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

• LCM of 262, 371, 922, 796, 525
• LCM of 191, 655, 935, 340, 653
• LCM of 207, 723, 692, 788, 760
• LCM of 172, 592, 105, 355, 684
• LCM of 108, 801, 551, 235, 589

1. What is the LCM of 736, 308, 553, 312, 728?

Answer: LCM of 736, 308, 553, 312, 728 is 174606432.

2. How to calculate the LCM of 736, 308, 553, 312, 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 736, 308, 553, 312, 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}.