Given numbers are 189,211,268,469

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

The LCM of 189,211,268,469 is 10687572.

Find LCM of 189,211,268,469 with Prime Factorization

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

7 x 67 x 27 x 211 x 4 x 1 = 10687572

Therefore, the lowest common multiple of 189,211,268,469 is 10687572.

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.

189 x 211 x 268 x 469 = 5012471268

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

211 : 1, 211

268 : 1, 2, 4, 67, 134, 268

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,211,268,469, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

211:211

268:2x 2x 67

469:7x 67

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

7x 67 = 469

Therefore, the value for common factors is 469.

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 = 5012471268/(1x469)

LCM = 5012471268/469

LCM = 10687572

Thus, we can understand that the LCM of 189,211,268,469 is 10687572.

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

• LCM of 990, 416, 811, 114
• LCM of 973, 232, 234, 782
• LCM of 840, 529, 419, 998
• LCM of 989, 197, 783, 526
• LCM of 644, 941, 499, 539

1. What is the LCM of 189, 211, 268, 469?

Answer: LCM of 189, 211, 268, 469 is 10687572.

2. How to calculate the LCM of 189, 211, 268, 469?

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 189, 211, 268, 469.

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}.