Given numbers are 966,720,670,684

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

The LCM of 966,720,670,684 is 147566160.

Find LCM of 966,720,670,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 161 x 4 x 67 x 19 = 147566160

Therefore, the lowest common multiple of 966,720,670,684 is 147566160.

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 670 x 684 = 318742905600

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,720,670,684, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

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

670:2x 5x 67

684:2x 2x 3x 3x 19

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 318742905600/(2x1080)

LCM = 318742905600/2160

LCM = 147566160

Thus, we can understand that the LCM of 966,720,670,684 is 147566160.

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

• LCM of 958, 775, 921, 234
• LCM of 549, 881, 380, 115
• LCM of 334, 402, 902, 404
• LCM of 878, 149, 437, 519
• LCM of 365, 968, 468, 646

1. What is the LCM of 966, 720, 670, 684?

Answer: LCM of 966, 720, 670, 684 is 147566160.

2. How to calculate the LCM of 966, 720, 670, 684?

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, 670, 684.

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}.