Given numbers are 209,120,362,19

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

The LCM of 209,120,362,19 is 4539480.

Find LCM of 209,120,362,19 with Prime Factorization

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

2 x 19 x 11 x 60 x 181 x 1 = 4539480

Therefore, the lowest common multiple of 209,120,362,19 is 4539480.

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 120 x 362 x 19 = 172500240

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

362 : 1, 2, 181, 362

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,120,362,19, is 1.

Now, the common factors can be found like this.

209:11x 19

120:2x 2x 2x 3x 5

362:2x 181

19:19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 172500240/(1x38)

LCM = 172500240/38

LCM = 4539480

Thus, we can understand that the LCM of 209,120,362,19 is 4539480.

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

• LCM of 499, 738, 352, 59
• LCM of 221, 552, 945, 59
• LCM of 390, 802, 442, 46
• LCM of 998, 317, 508, 71
• LCM of 701, 834, 801, 95

1. What is the LCM of 209, 120, 362, 19?

Answer: LCM of 209, 120, 362, 19 is 4539480.

2. How to calculate the LCM of 209, 120, 362, 19?

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, 120, 362, 19.

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}.