Given numbers are 193,789,240,276,324

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

The LCM of 193,789,240,276,324 is 7565121360.

Find LCM of 193,789,240,276,324 with Prime Factorization

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

2 x 2 x 3 x 193 x 263 x 20 x 23 x 27 = 7565121360

Therefore, the lowest common multiple of 193,789,240,276,324 is 7565121360.

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.

193 x 789 x 240 x 276 x 324 = 3268132427520

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.

193 : 1, 193

789 : 1, 3, 263, 789

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,789,240,276,324, is 1.

Now, the common factors can be found like this.

193:193

789:3x 263

240:2x 2x 2x 2x 3x 5

276:2x 2x 3x 23

324:2x 2x 3x 3x 3x 3

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 3268132427520/(1x432)

LCM = 3268132427520/432

LCM = 7565121360

Thus, we can understand that the LCM of 193,789,240,276,324 is 7565121360.

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

• LCM of 640, 175, 830, 517, 781
• LCM of 292, 391, 349, 189, 609
• LCM of 218, 305, 725, 557, 843
• LCM of 756, 251, 824, 469, 422
• LCM of 394, 368, 994, 633, 762

1. What is the LCM of 193, 789, 240, 276, 324?

Answer: LCM of 193, 789, 240, 276, 324 is 7565121360.

2. How to calculate the LCM of 193, 789, 240, 276, 324?

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 193, 789, 240, 276, 324.

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}.