Given numbers are 791,540,426,338,706

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

The LCM of 791,540,426,338,706 is 1809214259580.

Find LCM of 791,540,426,338,706 with Prime Factorization

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

2 x 3 x 791 x 90 x 71 x 169 x 353 = 1809214259580

Therefore, the lowest common multiple of 791,540,426,338,706 is 1809214259580.

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.

791 x 540 x 426 x 338 x 706 = 43421142229920

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.

791 : 1, 7, 113, 791

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

426 : 1, 2, 3, 6, 71, 142, 213, 426

338 : 1, 2, 13, 26, 169, 338

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,540,426,338,706, is 1.

Now, the common factors can be found like this.

791:7x 113

540:2x 2x 3x 3x 3x 5

426:2x 3x 71

338:2x 13x 13

706:2x 353

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 3 = 24

Therefore, the value for common factors is 24.

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 = 43421142229920/(1x24)

LCM = 43421142229920/24

LCM = 1809214259580

Thus, we can understand that the LCM of 791,540,426,338,706 is 1809214259580.

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

• LCM of 815, 311, 703, 964, 675
• LCM of 993, 267, 894, 118, 343
• LCM of 233, 464, 784, 263, 538
• LCM of 182, 250, 709, 422, 924
• LCM of 191, 356, 517, 720, 641

1. What is the LCM of 791, 540, 426, 338, 706?

Answer: LCM of 791, 540, 426, 338, 706 is 1809214259580.

2. How to calculate the LCM of 791, 540, 426, 338, 706?

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 791, 540, 426, 338, 706.

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}.