Given numbers are 180,618,414,480,497

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

The LCM of 180,618,414,480,497 is 1695445920.

Find LCM of 180,618,414,480,497 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 1 x 103 x 23 x 8 x 497 = 1695445920

Therefore, the lowest common multiple of 180,618,414,480,497 is 1695445920.

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.

180 x 618 x 414 x 480 x 497 = 10986489561600

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

618 : 1, 2, 3, 6, 103, 206, 309, 618

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,618,414,480,497, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

618:2x 3x 103

414:2x 3x 3x 23

480:2x 2x 2x 2x 2x 3x 5

497:7x 71

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 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 10986489561600/(1x6480)

LCM = 10986489561600/6480

LCM = 1695445920

Thus, we can understand that the LCM of 180,618,414,480,497 is 1695445920.

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

• LCM of 209, 328, 945, 191, 597
• LCM of 357, 143, 500, 643, 327
• LCM of 383, 150, 253, 348, 126
• LCM of 760, 389, 183, 565, 424
• LCM of 474, 727, 237, 624, 791

1. What is the LCM of 180, 618, 414, 480, 497?

Answer: LCM of 180, 618, 414, 480, 497 is 1695445920.

2. How to calculate the LCM of 180, 618, 414, 480, 497?

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 180, 618, 414, 480, 497.

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}.