Given numbers are 420,776,466,208,966

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

The LCM of 420,776,466,208,966 is 11352934320.

Find LCM of 420,776,466,208,966 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 5 x 97 x 233 x 26 x 23 = 11352934320

Therefore, the lowest common multiple of 420,776,466,208,966 is 11352934320.

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.

420 x 776 x 466 x 208 x 966 = 30516687452160

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

776 : 1, 2, 4, 8, 97, 194, 388, 776

466 : 1, 2, 233, 466

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 420,776,466,208,966, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

776:2x 2x 2x 97

466:2x 233

208:2x 2x 2x 2x 13

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 2x 2x 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 30516687452160/(2x1344)

LCM = 30516687452160/2688

LCM = 11352934320

Thus, we can understand that the LCM of 420,776,466,208,966 is 11352934320.

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

• LCM of 382, 116, 480, 446, 635
• LCM of 499, 394, 897, 774, 481
• LCM of 127, 280, 252, 112, 806
• LCM of 399, 132, 308, 531, 689
• LCM of 513, 264, 510, 244, 536

1. What is the LCM of 420, 776, 466, 208, 966?

Answer: LCM of 420, 776, 466, 208, 966 is 11352934320.

2. How to calculate the LCM of 420, 776, 466, 208, 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 420, 776, 466, 208, 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}.