Given numbers are 102,399,624,805,901

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

The LCM of 102,399,624,805,901 is 8599216080.

Find LCM of 102,399,624,805,901 with Prime Factorization

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

2 x 3 x 7 x 17 x 1 x 19 x 104 x 115 x 53 = 8599216080

Therefore, the lowest common multiple of 102,399,624,805,901 is 8599216080.

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 399 x 624 x 805 x 901 = 18419520843360

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

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

805 : 1, 5, 7, 23, 35, 115, 161, 805

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,399,624,805,901, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

399:3x 7x 19

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

805:5x 7x 23

901:17x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7x 17 = 2142

Therefore, the value for common factors is 2142.

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 = 18419520843360/(1x2142)

LCM = 18419520843360/2142

LCM = 8599216080

Thus, we can understand that the LCM of 102,399,624,805,901 is 8599216080.

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

• LCM of 607, 585, 823, 939, 367
• LCM of 491, 337, 459, 508, 535
• LCM of 930, 702, 500, 845, 186
• LCM of 839, 288, 922, 992, 161
• LCM of 330, 136, 118, 244, 516

1. What is the LCM of 102, 399, 624, 805, 901?

Answer: LCM of 102, 399, 624, 805, 901 is 8599216080.

2. How to calculate the LCM of 102, 399, 624, 805, 901?

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, 399, 624, 805, 901.

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}.