Given numbers are 966,720,750,502

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

The LCM of 966,720,750,502 is 727398000.

Find LCM of 966,720,750,502 with Prime Factorization

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

2 x 3 x 5 x 161 x 24 x 25 x 251 = 727398000

Therefore, the lowest common multiple of 966,720,750,502 is 727398000.

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.

966 x 720 x 750 x 502 = 261863280000

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

502 : 1, 2, 251, 502

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,720,750,502, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

720:2x 2x 2x 2x 3x 3x 5

750:2x 3x 5x 5x 5

502:2x 251

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 = 261863280000/(2x180)

LCM = 261863280000/360

LCM = 727398000

Thus, we can understand that the LCM of 966,720,750,502 is 727398000.

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

• LCM of 808, 433, 213, 391
• LCM of 985, 666, 504, 370
• LCM of 784, 735, 970, 583
• LCM of 710, 393, 253, 169
• LCM of 709, 334, 874, 949

1. What is the LCM of 966, 720, 750, 502?

Answer: LCM of 966, 720, 750, 502 is 727398000.

2. How to calculate the LCM of 966, 720, 750, 502?

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 966, 720, 750, 502.

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}.