Given numbers are 645,192,803,130,450

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

The LCM of 645,192,803,130,450 is 6463828800.

Find LCM of 645,192,803,130,450 with Prime Factorization

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

2 x 3 x 5 x 43 x 32 x 803 x 13 x 15 = 6463828800

Therefore, the lowest common multiple of 645,192,803,130,450 is 6463828800.

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.

645 x 192 x 803 x 130 x 450 = 5817445920000

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

803 : 1, 11, 73, 803

130 : 1, 2, 5, 10, 13, 26, 65, 130

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,192,803,130,450, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

192:2x 2x 2x 2x 2x 2x 3

803:11x 73

130:2x 5x 13

450:2x 3x 3x 5x 5

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 5817445920000/(1x900)

LCM = 5817445920000/900

LCM = 6463828800

Thus, we can understand that the LCM of 645,192,803,130,450 is 6463828800.

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

• LCM of 776, 336, 976, 213, 799
• LCM of 344, 219, 912, 423, 847
• LCM of 437, 486, 962, 361, 712
• LCM of 814, 786, 935, 264, 388
• LCM of 448, 948, 968, 141, 496

1. What is the LCM of 645, 192, 803, 130, 450?

Answer: LCM of 645, 192, 803, 130, 450 is 6463828800.

2. How to calculate the LCM of 645, 192, 803, 130, 450?

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 645, 192, 803, 130, 450.

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}.