Given numbers are 966,516,726,336

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

The LCM of 966,516,726,336 is 40208784.

Find LCM of 966,516,726,336 with Prime Factorization

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

2 x 2 x 3 x 7 x 23 x 43 x 121 x 4 = 40208784

Therefore, the lowest common multiple of 966,516,726,336 is 40208784.

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 516 x 726 x 336 = 121591362816

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,516,726,336, is 6.

Now, the common factors can be found like this.

966:2x 3x 7x 23

516:2x 2x 3x 43

726:2x 3x 11x 11

336:2x 2x 2x 2x 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 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 121591362816/(6x504)

LCM = 121591362816/3024

LCM = 40208784

Thus, we can understand that the LCM of 966,516,726,336 is 40208784.

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

• LCM of 574, 952, 825, 755
• LCM of 174, 445, 365, 823
• LCM of 551, 998, 553, 709
• LCM of 477, 580, 492, 582
• LCM of 615, 389, 776, 536

1. What is the LCM of 966, 516, 726, 336?

Answer: LCM of 966, 516, 726, 336 is 40208784.

2. How to calculate the LCM of 966, 516, 726, 336?

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, 516, 726, 336.

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}.