Given numbers are 633,750,759,960

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

The LCM of 633,750,759,960 is 1281192000.

Find LCM of 633,750,759,960 with Prime Factorization

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

2 x 3 x 5 x 211 x 25 x 253 x 32 = 1281192000

Therefore, the lowest common multiple of 633,750,759,960 is 1281192000.

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.

633 x 750 x 759 x 960 = 345921840000

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.

633 : 1, 3, 211, 633

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,750,759,960, is 3.

Now, the common factors can be found like this.

633:3x 211

750:2x 3x 5x 5x 5

759:3x 11x 23

960:2x 2x 2x 2x 2x 2x 3x 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 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 345921840000/(3x90)

LCM = 345921840000/270

LCM = 1281192000

Thus, we can understand that the LCM of 633,750,759,960 is 1281192000.

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

• LCM of 995, 223, 407, 143
• LCM of 189, 587, 950, 971
• LCM of 547, 177, 795, 943
• LCM of 927, 262, 874, 590
• LCM of 421, 121, 586, 565

1. What is the LCM of 633, 750, 759, 960?

Answer: LCM of 633, 750, 759, 960 is 1281192000.

2. How to calculate the LCM of 633, 750, 759, 960?

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 633, 750, 759, 960.

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}.