Given numbers are 966,924,806,104,490

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

The LCM of 966,924,806,104,490 is 599518920.

Find LCM of 966,924,806,104,490 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 23 x 11 x 31 x 2 x 35 = 599518920

Therefore, the lowest common multiple of 966,924,806,104,490 is 599518920.

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 924 x 806 x 104 x 490 = 36661780995840

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

806 : 1, 2, 13, 26, 31, 62, 403, 806

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,924,806,104,490, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

924:2x 2x 3x 7x 11

806:2x 13x 31

104:2x 2x 2x 13

490:2x 5x 7x 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 2x 2x 3x 7x 7x 13 = 30576

Therefore, the value for common factors is 30576.

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 = 36661780995840/(2x30576)

LCM = 36661780995840/61152

LCM = 599518920

Thus, we can understand that the LCM of 966,924,806,104,490 is 599518920.

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

• LCM of 184, 315, 468, 201, 280
• LCM of 346, 118, 655, 832, 322
• LCM of 511, 298, 264, 653, 661
• LCM of 844, 359, 617, 940, 569
• LCM of 610, 519, 960, 194, 135

1. What is the LCM of 966, 924, 806, 104, 490?

Answer: LCM of 966, 924, 806, 104, 490 is 599518920.

2. How to calculate the LCM of 966, 924, 806, 104, 490?

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, 924, 806, 104, 490.

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}.