Given numbers are 540,490,187,920

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

The LCM of 540,490,187,920 is 227608920.

Find LCM of 540,490,187,920 with Prime Factorization

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

2 x 2 x 5 x 27 x 49 x 187 x 46 = 227608920

Therefore, the lowest common multiple of 540,490,187,920 is 227608920.

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 490 x 187 x 920 = 45521784000

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

187 : 1, 11, 17, 187

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,490,187,920, is 1.

Now, the common factors can be found like this.

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

490:2x 5x 7x 7

187:11x 17

920:2x 2x 2x 5x 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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 45521784000/(1x200)

LCM = 45521784000/200

LCM = 227608920

Thus, we can understand that the LCM of 540,490,187,920 is 227608920.

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

• LCM of 990, 503, 223, 152
• LCM of 758, 450, 736, 154
• LCM of 650, 872, 176, 804
• LCM of 543, 211, 543, 912
• LCM of 429, 298, 783, 354

1. What is the LCM of 540, 490, 187, 920?

Answer: LCM of 540, 490, 187, 920 is 227608920.

2. How to calculate the LCM of 540, 490, 187, 920?

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, 490, 187, 920.

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}.