Given numbers are 209,580,220,404,540

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

The LCM of 209,580,220,404,540 is 330566940.

Find LCM of 209,580,220,404,540 with Prime Factorization

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

2 x 2 x 5 x 11 x 19 x 29 x 1 x 101 x 27 = 330566940

Therefore, the lowest common multiple of 209,580,220,404,540 is 330566940.

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.

209 x 580 x 220 x 404 x 540 = 5817978144000

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.

209 : 1, 11, 19, 209

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

404 : 1, 2, 4, 101, 202, 404

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 209,580,220,404,540, is 1.

Now, the common factors can be found like this.

209:11x 19

580:2x 2x 5x 29

220:2x 2x 5x 11

404:2x 2x 101

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 2x 2x 5x 5x 11 = 17600

Therefore, the value for common factors is 17600.

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 = 5817978144000/(1x17600)

LCM = 5817978144000/17600

LCM = 330566940

Thus, we can understand that the LCM of 209,580,220,404,540 is 330566940.

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

• LCM of 381, 915, 631, 386, 259
• LCM of 343, 465, 783, 578, 405
• LCM of 753, 496, 953, 509, 916
• LCM of 525, 367, 844, 707, 588
• LCM of 203, 718, 196, 298, 482

1. What is the LCM of 209, 580, 220, 404, 540?

Answer: LCM of 209, 580, 220, 404, 540 is 330566940.

2. How to calculate the LCM of 209, 580, 220, 404, 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 209, 580, 220, 404, 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}.