Given numbers are 312,706,858,726

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

The LCM of 312,706,858,726 is 13326456.

Find LCM of 312,706,858,726 with Prime Factorization

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

2 x 3 x 11 x 13 x 4 x 353 x 1 x 11 = 13326456

Therefore, the lowest common multiple of 312,706,858,726 is 13326456.

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.

312 x 706 x 858 x 726 = 137209190976

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

706 : 1, 2, 353, 706

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,706,858,726, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

706:2x 353

858:2x 3x 11x 13

726:2x 3x 11x 11

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 3x 3x 11x 13 = 5148

Therefore, the value for common factors is 5148.

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 = 137209190976/(2x5148)

LCM = 137209190976/10296

LCM = 13326456

Thus, we can understand that the LCM of 312,706,858,726 is 13326456.

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

• LCM of 817, 552, 858, 625
• LCM of 272, 657, 133, 853
• LCM of 966, 861, 392, 867
• LCM of 572, 540, 383, 502
• LCM of 924, 526, 617, 373

1. What is the LCM of 312, 706, 858, 726?

Answer: LCM of 312, 706, 858, 726 is 13326456.

2. How to calculate the LCM of 312, 706, 858, 726?

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 312, 706, 858, 726.

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}.