Given numbers are 728,416,540,795,785

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

The LCM of 728,416,540,795,785 is 3271151520.

Find LCM of 728,416,540,795,785 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 7 x 4 x 9 x 53 x 157 = 3271151520

Therefore, the lowest common multiple of 728,416,540,795,785 is 3271151520.

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 416 x 540 x 795 x 785 = 102059927424000

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

795 : 1, 3, 5, 15, 53, 159, 265, 795

785 : 1, 5, 157, 785

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,416,540,795,785, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

416:2x 2x 2x 2x 2x 13

540:2x 2x 3x 3x 3x 5

795:3x 5x 53

785:5x 157

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 3x 5x 5x 13 = 31200

Therefore, the value for common factors is 31200.

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 = 102059927424000/(1x31200)

LCM = 102059927424000/31200

LCM = 3271151520

Thus, we can understand that the LCM of 728,416,540,795,785 is 3271151520.

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

• LCM of 954, 157, 934, 432, 506
• LCM of 261, 229, 897, 262, 237
• LCM of 333, 472, 695, 155, 583
• LCM of 472, 448, 822, 900, 202
• LCM of 815, 489, 938, 941, 175

1. What is the LCM of 728, 416, 540, 795, 785?

Answer: LCM of 728, 416, 540, 795, 785 is 3271151520.

2. How to calculate the LCM of 728, 416, 540, 795, 785?

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, 416, 540, 795, 785.

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}.