Given numbers are 540,875,538,460,874

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

The LCM of 540,875,538,460,874 is 11108758500.

Find LCM of 540,875,538,460,874 with Prime Factorization

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

2 x 2 x 5 x 23 x 27 x 175 x 269 x 1 x 19 = 11108758500

Therefore, the lowest common multiple of 540,875,538,460,874 is 11108758500.

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 875 x 538 x 460 x 874 = 102200578200000

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

875 : 1, 5, 7, 25, 35, 125, 175, 875

538 : 1, 2, 269, 538

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,875,538,460,874, is 1.

Now, the common factors can be found like this.

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

875:5x 5x 5x 7

538:2x 269

460:2x 2x 5x 23

874:2x 19x 23

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 5x 5x 23 = 9200

Therefore, the value for common factors is 9200.

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 = 102200578200000/(1x9200)

LCM = 102200578200000/9200

LCM = 11108758500

Thus, we can understand that the LCM of 540,875,538,460,874 is 11108758500.

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

• LCM of 810, 166, 308, 807, 450
• LCM of 367, 589, 516, 659, 162
• LCM of 139, 697, 219, 242, 149
• LCM of 825, 461, 267, 762, 300
• LCM of 314, 622, 653, 494, 258

1. What is the LCM of 540, 875, 538, 460, 874?

Answer: LCM of 540, 875, 538, 460, 874 is 11108758500.

2. How to calculate the LCM of 540, 875, 538, 460, 874?

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, 875, 538, 460, 874.

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}.