Given numbers are 418,958,960,966

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

The LCM of 418,958,960,966 is 15473156160.

Find LCM of 418,958,960,966 with Prime Factorization

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

2 x 3 x 209 x 479 x 160 x 161 = 15473156160

Therefore, the lowest common multiple of 418,958,960,966 is 15473156160.

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.

418 x 958 x 960 x 966 = 371355747840

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

958 : 1, 2, 479, 958

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,958,960,966, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

958:2x 479

960:2x 2x 2x 2x 2x 2x 3x 5

966:2x 3x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 371355747840/(2x12)

LCM = 371355747840/24

LCM = 15473156160

Thus, we can understand that the LCM of 418,958,960,966 is 15473156160.

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

• LCM of 727, 954, 611, 632
• LCM of 501, 445, 248, 525
• LCM of 925, 766, 932, 801
• LCM of 281, 690, 938, 894
• LCM of 362, 403, 147, 931

1. What is the LCM of 418, 958, 960, 966?

Answer: LCM of 418, 958, 960, 966 is 15473156160.

2. How to calculate the LCM of 418, 958, 960, 966?

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 418, 958, 960, 966.

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}.