Given numbers are 540,566,649,418

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

The LCM of 540,566,649,418 is 1884423420.

Find LCM of 540,566,649,418 with Prime Factorization

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

2 x 11 x 270 x 283 x 59 x 19 = 1884423420

Therefore, the lowest common multiple of 540,566,649,418 is 1884423420.

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 566 x 649 x 418 = 82914630480

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

566 : 1, 2, 283, 566

649 : 1, 11, 59, 649

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,566,649,418, is 1.

Now, the common factors can be found like this.

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

566:2x 283

649:11x 59

418:2x 11x 19

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 11 = 44

Therefore, the value for common factors is 44.

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 = 82914630480/(1x44)

LCM = 82914630480/44

LCM = 1884423420

Thus, we can understand that the LCM of 540,566,649,418 is 1884423420.

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

• LCM of 859, 546, 875, 252
• LCM of 440, 262, 660, 886
• LCM of 481, 730, 796, 816
• LCM of 972, 263, 171, 538
• LCM of 849, 391, 633, 861

1. What is the LCM of 540, 566, 649, 418?

Answer: LCM of 540, 566, 649, 418 is 1884423420.

2. How to calculate the LCM of 540, 566, 649, 418?

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, 566, 649, 418.

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}.