Given numbers are 708,726,942,864

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

The LCM of 708,726,942,864 is 968391072.

Find LCM of 708,726,942,864 with Prime Factorization

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

2 x 2 x 3 x 59 x 121 x 157 x 72 = 968391072

Therefore, the lowest common multiple of 708,726,942,864 is 968391072.

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.

708 x 726 x 942 x 864 = 418344943104

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,726,942,864, is 6.

Now, the common factors can be found like this.

708:2x 2x 3x 59

726:2x 3x 11x 11

942:2x 3x 157

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 72

Therefore, the value for common factors is 72.

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 = 418344943104/(6x72)

LCM = 418344943104/432

LCM = 968391072

Thus, we can understand that the LCM of 708,726,942,864 is 968391072.

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

• LCM of 872, 790, 769, 492
• LCM of 812, 626, 597, 598
• LCM of 712, 225, 209, 858
• LCM of 343, 864, 781, 647
• LCM of 715, 585, 203, 263

1. What is the LCM of 708, 726, 942, 864?

Answer: LCM of 708, 726, 942, 864 is 968391072.

2. How to calculate the LCM of 708, 726, 942, 864?

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 708, 726, 942, 864.

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}.