Given numbers are 418,646,192,540

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

The LCM of 418,646,192,540 is 30697920.

Find LCM of 418,646,192,540 with Prime Factorization

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

2 x 2 x 3 x 19 x 11 x 17 x 16 x 45 = 30697920

Therefore, the lowest common multiple of 418,646,192,540 is 30697920.

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.

418 x 646 x 192 x 540 = 27996503040

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.

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,646,192,540, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

646:2x 17x 19

192:2x 2x 2x 2x 2x 2x 3

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 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 27996503040/(2x456)

LCM = 27996503040/912

LCM = 30697920

Thus, we can understand that the LCM of 418,646,192,540 is 30697920.

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

• LCM of 755, 358, 304, 933
• LCM of 303, 280, 519, 868
• LCM of 736, 814, 434, 799
• LCM of 824, 141, 265, 275
• LCM of 794, 616, 854, 950

1. What is the LCM of 418, 646, 192, 540?

Answer: LCM of 418, 646, 192, 540 is 30697920.

2. How to calculate the LCM of 418, 646, 192, 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 418, 646, 192, 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}.