Given numbers are 102,624,302,223,486

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

The LCM of 102,624,302,223,486 is 28933457904.

Find LCM of 102,624,302,223,486 with Prime Factorization

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

2 x 3 x 17 x 104 x 151 x 223 x 81 = 28933457904

Therefore, the lowest common multiple of 102,624,302,223,486 is 28933457904.

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.

102 x 624 x 302 x 223 x 486 = 2083208969088

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

302 : 1, 2, 151, 302

223 : 1, 223

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,624,302,223,486, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

624:2x 2x 2x 2x 3x 13

302:2x 151

223:223

486:2x 3x 3x 3x 3x 3

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 2083208969088/(1x72)

LCM = 2083208969088/72

LCM = 28933457904

Thus, we can understand that the LCM of 102,624,302,223,486 is 28933457904.

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

• LCM of 501, 436, 831, 366, 130
• LCM of 695, 992, 187, 990, 737
• LCM of 407, 892, 354, 693, 879
• LCM of 938, 645, 463, 917, 928
• LCM of 961, 700, 580, 632, 982

1. What is the LCM of 102, 624, 302, 223, 486?

Answer: LCM of 102, 624, 302, 223, 486 is 28933457904.

2. How to calculate the LCM of 102, 624, 302, 223, 486?

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 102, 624, 302, 223, 486.

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}.