Given numbers are 916,538,730,605,540

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

The LCM of 916,538,730,605,540 is 293825681820.

Find LCM of 916,538,730,605,540 with Prime Factorization

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

2 x 2 x 5 x 229 x 269 x 73 x 121 x 27 = 293825681820

Therefore, the lowest common multiple of 916,538,730,605,540 is 293825681820.

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.

916 x 538 x 730 x 605 x 540 = 117530272728000

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.

916 : 1, 2, 4, 229, 458, 916

538 : 1, 2, 269, 538

730 : 1, 2, 5, 10, 73, 146, 365, 730

605 : 1, 5, 11, 55, 121, 605

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,538,730,605,540, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

538:2x 269

730:2x 5x 73

605:5x 11x 11

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

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 5 = 400

Therefore, the value for common factors is 400.

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 = 117530272728000/(1x400)

LCM = 117530272728000/400

LCM = 293825681820

Thus, we can understand that the LCM of 916,538,730,605,540 is 293825681820.

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

• LCM of 989, 945, 617, 350, 846
• LCM of 668, 662, 263, 895, 963
• LCM of 100, 456, 998, 499, 432
• LCM of 308, 596, 806, 456, 247
• LCM of 683, 161, 214, 628, 177

1. What is the LCM of 916, 538, 730, 605, 540?

Answer: LCM of 916, 538, 730, 605, 540 is 293825681820.

2. How to calculate the LCM of 916, 538, 730, 605, 540?

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 916, 538, 730, 605, 540.

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}.