Given numbers are 728,316,684,543,291

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

The LCM of 728,316,684,543,291 is 172665229464.

Find LCM of 728,316,684,543,291 with Prime Factorization

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

2 x 2 x 3 x 182 x 79 x 57 x 181 x 97 = 172665229464

Therefore, the lowest common multiple of 728,316,684,543,291 is 172665229464.

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 316 x 684 x 543 x 291 = 24863793042816

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

316 : 1, 2, 4, 79, 158, 316

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

543 : 1, 3, 181, 543

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,316,684,543,291, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

316:2x 2x 79

684:2x 2x 3x 3x 19

543:3x 181

291:3x 97

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 24863793042816/(1x144)

LCM = 24863793042816/144

LCM = 172665229464

Thus, we can understand that the LCM of 728,316,684,543,291 is 172665229464.

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

• LCM of 861, 823, 195, 263, 680
• LCM of 451, 218, 592, 500, 911
• LCM of 249, 195, 799, 869, 730
• LCM of 878, 743, 868, 620, 577
• LCM of 140, 731, 156, 568, 605

1. What is the LCM of 728, 316, 684, 543, 291?

Answer: LCM of 728, 316, 684, 543, 291 is 172665229464.

2. How to calculate the LCM of 728, 316, 684, 543, 291?

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, 316, 684, 543, 291.

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}.