Given numbers are 247,104,288,708,546

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

The LCM of 247,104,288,708,546 is 29379168.

Find LCM of 247,104,288,708,546 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 19 x 1 x 12 x 59 x 7 = 29379168

Therefore, the lowest common multiple of 247,104,288,708,546 is 29379168.

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.

247 x 104 x 288 x 708 x 546 = 2859885729792

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.

247 : 1, 13, 19, 247

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,104,288,708,546, is 1.

Now, the common factors can be found like this.

247:13x 19

104:2x 2x 2x 13

288:2x 2x 2x 2x 2x 3x 3

708:2x 2x 3x 59

546:2x 3x 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 3x 3x 13x 13 = 97344

Therefore, the value for common factors is 97344.

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 = 2859885729792/(1x97344)

LCM = 2859885729792/97344

LCM = 29379168

Thus, we can understand that the LCM of 247,104,288,708,546 is 29379168.

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

• LCM of 107, 451, 413, 285, 768
• LCM of 890, 902, 392, 679, 705
• LCM of 782, 922, 927, 184, 472
• LCM of 644, 624, 622, 347, 404
• LCM of 135, 440, 760, 981, 672

1. What is the LCM of 247, 104, 288, 708, 546?

Answer: LCM of 247, 104, 288, 708, 546 is 29379168.

2. How to calculate the LCM of 247, 104, 288, 708, 546?

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 247, 104, 288, 708, 546.

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}.