Given numbers are 540,264,727,731,935

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

The LCM of 540,264,727,731,935 is 6313471560.

Find LCM of 540,264,727,731,935 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 17 x 9 x 2 x 727 x 43 x 1 = 6313471560

Therefore, the lowest common multiple of 540,264,727,731,935 is 6313471560.

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 264 x 727 x 731 x 935 = 70837150903200

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

727 : 1, 727

731 : 1, 17, 43, 731

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,264,727,731,935, is 1.

Now, the common factors can be found like this.

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

264:2x 2x 2x 3x 11

727:727

731:17x 43

935:5x 11x 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 3x 5x 11x 17 = 11220

Therefore, the value for common factors is 11220.

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 = 70837150903200/(1x11220)

LCM = 70837150903200/11220

LCM = 6313471560

Thus, we can understand that the LCM of 540,264,727,731,935 is 6313471560.

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

• LCM of 305, 203, 581, 397, 633
• LCM of 761, 309, 983, 710, 131
• LCM of 997, 397, 907, 756, 813
• LCM of 425, 164, 626, 625, 512
• LCM of 254, 108, 451, 678, 677

1. What is the LCM of 540, 264, 727, 731, 935?

Answer: LCM of 540, 264, 727, 731, 935 is 6313471560.

2. How to calculate the LCM of 540, 264, 727, 731, 935?

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, 264, 727, 731, 935.

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}.