Given numbers are 552,234,188,204,232

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

The LCM of 552,234,188,204,232 is 498825288.

Find LCM of 552,234,188,204,232 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 39 x 47 x 17 x 29 = 498825288

Therefore, the lowest common multiple of 552,234,188,204,232 is 498825288.

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.

552 x 234 x 188 x 204 x 232 = 1149293463552

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

188 : 1, 2, 4, 47, 94, 188

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,234,188,204,232, is 2.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

234:2x 3x 3x 13

188:2x 2x 47

204:2x 2x 3x 17

232:2x 2x 2x 29

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 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 1149293463552/(2x1152)

LCM = 1149293463552/2304

LCM = 498825288

Thus, we can understand that the LCM of 552,234,188,204,232 is 498825288.

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

• LCM of 508, 348, 304, 726, 447
• LCM of 823, 231, 241, 538, 653
• LCM of 113, 770, 344, 670, 559
• LCM of 961, 418, 555, 836, 390
• LCM of 919, 496, 367, 331, 397

1. What is the LCM of 552, 234, 188, 204, 232?

Answer: LCM of 552, 234, 188, 204, 232 is 498825288.

2. How to calculate the LCM of 552, 234, 188, 204, 232?

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 552, 234, 188, 204, 232.

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}.