Given numbers are 977,966,660,712,750

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

The LCM of 977,966,660,712,750 is 461981289000.

Find LCM of 977,966,660,712,750 with Prime Factorization

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

2 x 2 x 3 x 5 x 977 x 161 x 11 x 178 x 25 = 461981289000

Therefore, the lowest common multiple of 977,966,660,712,750 is 461981289000.

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.

977 x 966 x 660 x 712 x 750 = 332626528080000

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.

977 : 1, 977

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

712 : 1, 2, 4, 8, 89, 178, 356, 712

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 977,966,660,712,750, is 1.

Now, the common factors can be found like this.

977:977

966:2x 3x 7x 23

660:2x 2x 3x 5x 11

712:2x 2x 2x 89

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 2x 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 332626528080000/(1x720)

LCM = 332626528080000/720

LCM = 461981289000

Thus, we can understand that the LCM of 977,966,660,712,750 is 461981289000.

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

• LCM of 452, 379, 431, 846, 928
• LCM of 627, 513, 596, 683, 576
• LCM of 930, 767, 885, 197, 777
• LCM of 827, 367, 643, 595, 834
• LCM of 300, 509, 107, 206, 524

1. What is the LCM of 977, 966, 660, 712, 750?

Answer: LCM of 977, 966, 660, 712, 750 is 461981289000.

2. How to calculate the LCM of 977, 966, 660, 712, 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 977, 966, 660, 712, 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}.