Given numbers are 966,381,445,418,756

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

The LCM of 966,381,445,418,756 is 205380709380.

Find LCM of 966,381,445,418,756 with Prime Factorization

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

2 x 3 x 7 x 23 x 127 x 445 x 209 x 18 = 205380709380

Therefore, the lowest common multiple of 966,381,445,418,756 is 205380709380.

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 381 x 445 x 418 x 756 = 51755938763760

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

381 : 1, 3, 127, 381

445 : 1, 5, 89, 445

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,381,445,418,756, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

381:3x 127

445:5x 89

418:2x 11x 19

756:2x 2x 3x 3x 3x 7

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 7 = 252

Therefore, the value for common factors is 252.

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 = 51755938763760/(1x252)

LCM = 51755938763760/252

LCM = 205380709380

Thus, we can understand that the LCM of 966,381,445,418,756 is 205380709380.

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

• LCM of 976, 590, 290, 776, 912
• LCM of 563, 549, 570, 985, 292
• LCM of 827, 153, 363, 482, 552
• LCM of 229, 160, 362, 733, 786
• LCM of 474, 195, 769, 400, 731

1. What is the LCM of 966, 381, 445, 418, 756?

Answer: LCM of 966, 381, 445, 418, 756 is 205380709380.

2. How to calculate the LCM of 966, 381, 445, 418, 756?

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, 381, 445, 418, 756.

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}.