Given numbers are 789,220,366,354,646

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

The LCM of 789,220,366,354,646 is 201782757660.

Find LCM of 789,220,366,354,646 with Prime Factorization

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

2 x 3 x 263 x 110 x 61 x 59 x 323 = 201782757660

Therefore, the lowest common multiple of 789,220,366,354,646 is 201782757660.

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.

789 x 220 x 366 x 354 x 646 = 14528358551520

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.

789 : 1, 3, 263, 789

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

366 : 1, 2, 3, 6, 61, 122, 183, 366

354 : 1, 2, 3, 6, 59, 118, 177, 354

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,220,366,354,646, is 1.

Now, the common factors can be found like this.

789:3x 263

220:2x 2x 5x 11

366:2x 3x 61

354:2x 3x 59

646:2x 17x 19

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 14528358551520/(1x72)

LCM = 14528358551520/72

LCM = 201782757660

Thus, we can understand that the LCM of 789,220,366,354,646 is 201782757660.

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

• LCM of 904, 452, 209, 748, 239
• LCM of 556, 712, 422, 408, 672
• LCM of 462, 769, 256, 278, 204
• LCM of 595, 925, 696, 287, 846
• LCM of 142, 307, 362, 399, 242

1. What is the LCM of 789, 220, 366, 354, 646?

Answer: LCM of 789, 220, 366, 354, 646 is 201782757660.

2. How to calculate the LCM of 789, 220, 366, 354, 646?

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 789, 220, 366, 354, 646.

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}.