Given numbers are 735,366,104,676,966

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

The LCM of 735,366,104,676,966 is 1394189160.

Find LCM of 735,366,104,676,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 35 x 61 x 2 x 13 x 23 = 1394189160

Therefore, the lowest common multiple of 735,366,104,676,966 is 1394189160.

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.

735 x 366 x 104 x 676 x 966 = 18269454752640

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,366,104,676,966, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

366:2x 3x 61

104:2x 2x 2x 13

676:2x 2x 13x 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 3x 3x 7x 13 = 13104

Therefore, the value for common factors is 13104.

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 = 18269454752640/(1x13104)

LCM = 18269454752640/13104

LCM = 1394189160

Thus, we can understand that the LCM of 735,366,104,676,966 is 1394189160.

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

• LCM of 529, 855, 253, 483, 911
• LCM of 823, 978, 651, 408, 331
• LCM of 736, 895, 786, 895, 363
• LCM of 887, 358, 805, 668, 435
• LCM of 789, 625, 477, 332, 677

1. What is the LCM of 735, 366, 104, 676, 966?

Answer: LCM of 735, 366, 104, 676, 966 is 1394189160.

2. How to calculate the LCM of 735, 366, 104, 676, 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 735, 366, 104, 676, 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}.