Given numbers are 209,177,730,810,480

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

The LCM of 209,177,730,810,480 is 11666112480.

Find LCM of 209,177,730,810,480 with Prime Factorization

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

2 x 3 x 5 x 209 x 59 x 73 x 27 x 16 = 11666112480

Therefore, the lowest common multiple of 209,177,730,810,480 is 11666112480.

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 177 x 730 x 810 x 480 = 10499501232000

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

177 : 1, 3, 59, 177

730 : 1, 2, 5, 10, 73, 146, 365, 730

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,177,730,810,480, is 1.

Now, the common factors can be found like this.

209:11x 19

177:3x 59

730:2x 5x 73

810:2x 3x 3x 3x 3x 5

480:2x 2x 2x 2x 2x 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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 10499501232000/(1x900)

LCM = 10499501232000/900

LCM = 11666112480

Thus, we can understand that the LCM of 209,177,730,810,480 is 11666112480.

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

• LCM of 916, 457, 227, 972, 914
• LCM of 893, 836, 894, 264, 754
• LCM of 981, 816, 769, 845, 892
• LCM of 767, 750, 751, 241, 823
• LCM of 372, 678, 980, 785, 287

1. What is the LCM of 209, 177, 730, 810, 480?

Answer: LCM of 209, 177, 730, 810, 480 is 11666112480.

2. How to calculate the LCM of 209, 177, 730, 810, 480?

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, 177, 730, 810, 480.

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}.