Given numbers are 966,648,385,741

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

The LCM of 966,648,385,741 is 1417295880.

Find LCM of 966,648,385,741 with Prime Factorization

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

2 x 3 x 7 x 23 x 108 x 55 x 247 = 1417295880

Therefore, the lowest common multiple of 966,648,385,741 is 1417295880.

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 648 x 385 x 741 = 178579280880

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

385 : 1, 5, 7, 11, 35, 55, 77, 385

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,648,385,741, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

648:2x 2x 2x 3x 3x 3x 3

385:5x 7x 11

741:3x 13x 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 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 178579280880/(1x126)

LCM = 178579280880/126

LCM = 1417295880

Thus, we can understand that the LCM of 966,648,385,741 is 1417295880.

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

• LCM of 846, 870, 229, 654
• LCM of 672, 439, 784, 847
• LCM of 806, 243, 870, 836
• LCM of 757, 200, 251, 180
• LCM of 583, 482, 714, 382

1. What is the LCM of 966, 648, 385, 741?

Answer: LCM of 966, 648, 385, 741 is 1417295880.

2. How to calculate the LCM of 966, 648, 385, 741?

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, 648, 385, 741.

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}.