Given numbers are 336,596,726,930,966

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

The LCM of 336,596,726,930,966 is 21595857360.

Find LCM of 336,596,726,930,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 4 x 149 x 121 x 155 x 23 = 21595857360

Therefore, the lowest common multiple of 336,596,726,930,966 is 21595857360.

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.

336 x 596 x 726 x 930 x 966 = 130611745313280

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

596 : 1, 2, 4, 149, 298, 596

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 336,596,726,930,966, is 2.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

596:2x 2x 149

726:2x 3x 11x 11

930:2x 3x 5x 31

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 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 130611745313280/(2x3024)

LCM = 130611745313280/6048

LCM = 21595857360

Thus, we can understand that the LCM of 336,596,726,930,966 is 21595857360.

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

• LCM of 148, 199, 334, 379, 565
• LCM of 858, 775, 586, 275, 148
• LCM of 381, 691, 598, 786, 104
• LCM of 340, 616, 910, 383, 254
• LCM of 766, 810, 809, 815, 423

1. What is the LCM of 336, 596, 726, 930, 966?

Answer: LCM of 336, 596, 726, 930, 966 is 21595857360.

2. How to calculate the LCM of 336, 596, 726, 930, 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 336, 596, 726, 930, 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}.