Given numbers are 103,540,806,338,796

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

The LCM of 103,540,806,338,796 is 57987242820.

Find LCM of 103,540,806,338,796 with Prime Factorization

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

2 x 2 x 13 x 103 x 135 x 31 x 13 x 199 = 57987242820

Therefore, the lowest common multiple of 103,540,806,338,796 is 57987242820.

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.

103 x 540 x 806 x 338 x 796 = 12061346506560

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.

103 : 1, 103

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

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

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,540,806,338,796, is 1.

Now, the common factors can be found like this.

103:103

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

806:2x 13x 31

338:2x 13x 13

796:2x 2x 199

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 13 = 208

Therefore, the value for common factors is 208.

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 = 12061346506560/(1x208)

LCM = 12061346506560/208

LCM = 57987242820

Thus, we can understand that the LCM of 103,540,806,338,796 is 57987242820.

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

• LCM of 707, 572, 447, 323, 320
• LCM of 200, 276, 895, 948, 521
• LCM of 449, 489, 784, 617, 480
• LCM of 583, 846, 870, 482, 135
• LCM of 501, 581, 276, 945, 995

1. What is the LCM of 103, 540, 806, 338, 796?

Answer: LCM of 103, 540, 806, 338, 796 is 57987242820.

2. How to calculate the LCM of 103, 540, 806, 338, 796?

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 103, 540, 806, 338, 796.

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}.