Given numbers are 540,867,104,816

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

The LCM of 540,867,104,816 is 8115120.

Find LCM of 540,867,104,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 45 x 17 x 13 x 2 = 8115120

Therefore, the lowest common multiple of 540,867,104,816 is 8115120.

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.

540 x 867 x 104 x 816 = 39731627520

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.

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

867 : 1, 3, 17, 51, 289, 867

104 : 1, 2, 4, 8, 13, 26, 52, 104

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,867,104,816, is 1.

Now, the common factors can be found like this.

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

867:3x 17x 17

104:2x 2x 2x 13

816:2x 2x 2x 2x 3x 17

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 2x 3x 3x 17 = 4896

Therefore, the value for common factors is 4896.

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 = 39731627520/(1x4896)

LCM = 39731627520/4896

LCM = 8115120

Thus, we can understand that the LCM of 540,867,104,816 is 8115120.

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

• LCM of 553, 955, 843, 346
• LCM of 501, 846, 227, 895
• LCM of 225, 142, 603, 206
• LCM of 379, 322, 624, 641
• LCM of 234, 955, 720, 509

1. What is the LCM of 540, 867, 104, 816?

Answer: LCM of 540, 867, 104, 816 is 8115120.

2. How to calculate the LCM of 540, 867, 104, 816?

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 540, 867, 104, 816.

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}.