Given numbers are 222,284,163,144,169

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

The LCM of 222,284,163,144,169 is 10420699536.

Find LCM of 222,284,163,144,169 with Prime Factorization

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

2 x 2 x 3 x 37 x 71 x 163 x 12 x 169 = 10420699536

Therefore, the lowest common multiple of 222,284,163,144,169 is 10420699536.

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.

222 x 284 x 163 x 144 x 169 = 250096788864

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

284 : 1, 2, 4, 71, 142, 284

163 : 1, 163

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,284,163,144,169, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

284:2x 2x 71

163:163

144:2x 2x 2x 2x 3x 3

169:13x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 250096788864/(1x24)

LCM = 250096788864/24

LCM = 10420699536

Thus, we can understand that the LCM of 222,284,163,144,169 is 10420699536.

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

• LCM of 928, 193, 490, 794, 190
• LCM of 957, 876, 222, 318, 215
• LCM of 452, 911, 793, 781, 171
• LCM of 434, 477, 158, 189, 718
• LCM of 620, 333, 562, 829, 354

1. What is the LCM of 222, 284, 163, 144, 169?

Answer: LCM of 222, 284, 163, 144, 169 is 10420699536.

2. How to calculate the LCM of 222, 284, 163, 144, 169?

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 222, 284, 163, 144, 169.

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}.