Given numbers are 728,104,949,176,584

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

The LCM of 728,104,949,176,584 is 1169168.

Find LCM of 728,104,949,176,584 with Prime Factorization

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

2 x 2 x 2 x 13 x 73 x 7 x 1 x 1 x 22 x 1 = 1169168

Therefore, the lowest common multiple of 728,104,949,176,584 is 1169168.

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 104 x 949 x 176 x 584 = 7385101115392

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

949 : 1, 13, 73, 949

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,104,949,176,584, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

104:2x 2x 2x 13

949:13x 73

176:2x 2x 2x 2x 11

584:2x 2x 2x 73

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 2x 13x 13x 73 = 6316544

Therefore, the value for common factors is 6316544.

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 = 7385101115392/(1x6316544)

LCM = 7385101115392/6316544

LCM = 1169168

Thus, we can understand that the LCM of 728,104,949,176,584 is 1169168.

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

• LCM of 152, 637, 144, 727, 311
• LCM of 565, 691, 292, 417, 479
• LCM of 223, 290, 982, 383, 118
• LCM of 133, 577, 211, 146, 526
• LCM of 895, 894, 695, 154, 672

1. What is the LCM of 728, 104, 949, 176, 584?

Answer: LCM of 728, 104, 949, 176, 584 is 1169168.

2. How to calculate the LCM of 728, 104, 949, 176, 584?

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, 104, 949, 176, 584.

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}.