Given numbers are 208,589,178,221

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

The LCM of 208,589,178,221 is 185360656.

Find LCM of 208,589,178,221 with Prime Factorization

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

2 x 13 x 8 x 589 x 89 x 17 = 185360656

Therefore, the lowest common multiple of 208,589,178,221 is 185360656.

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.

208 x 589 x 178 x 221 = 4819377056

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

589 : 1, 19, 31, 589

178 : 1, 2, 89, 178

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,589,178,221, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

589:19x 31

178:2x 89

221:13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 4819377056/(1x26)

LCM = 4819377056/26

LCM = 185360656

Thus, we can understand that the LCM of 208,589,178,221 is 185360656.

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

• LCM of 120, 624, 280, 543
• LCM of 762, 581, 978, 933
• LCM of 148, 282, 516, 842
• LCM of 508, 277, 166, 839
• LCM of 258, 867, 164, 843

1. What is the LCM of 208, 589, 178, 221?

Answer: LCM of 208, 589, 178, 221 is 185360656.

2. How to calculate the LCM of 208, 589, 178, 221?

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 208, 589, 178, 221.

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}.