Given numbers are 645,606,728,750

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

The LCM of 645,606,728,750 is 1185639000.

Find LCM of 645,606,728,750 with Prime Factorization

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

2 x 3 x 5 x 43 x 101 x 364 x 25 = 1185639000

Therefore, the lowest common multiple of 645,606,728,750 is 1185639000.

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 606 x 728 x 750 = 213415020000

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

606 : 1, 2, 3, 6, 101, 202, 303, 606

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,606,728,750, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

606:2x 3x 101

728:2x 2x 2x 7x 13

750:2x 3x 5x 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 5 = 180

Therefore, the value for common factors is 180.

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 = 213415020000/(1x180)

LCM = 213415020000/180

LCM = 1185639000

Thus, we can understand that the LCM of 645,606,728,750 is 1185639000.

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

• LCM of 207, 952, 301, 760
• LCM of 579, 824, 259, 990
• LCM of 479, 599, 697, 703
• LCM of 829, 503, 446, 962
• LCM of 155, 618, 236, 685

1. What is the LCM of 645, 606, 728, 750?

Answer: LCM of 645, 606, 728, 750 is 1185639000.

2. How to calculate the LCM of 645, 606, 728, 750?

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, 606, 728, 750.

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}.