Given numbers are 657,759,213,281,390

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

The LCM of 657,759,213,281,390 is 431115772230.

Find LCM of 657,759,213,281,390 with Prime Factorization

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

3 x 219 x 253 x 71 x 281 x 130 = 431115772230

Therefore, the lowest common multiple of 657,759,213,281,390 is 431115772230.

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.

657 x 759 x 213 x 281 x 390 = 11640125850210

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.

657 : 1, 3, 9, 73, 219, 657

759 : 1, 3, 11, 23, 33, 69, 253, 759

213 : 1, 3, 71, 213

281 : 1, 281

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,759,213,281,390, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

759:3x 11x 23

213:3x 71

281:281

390:2x 3x 5x 13

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 11640125850210/(1x27)

LCM = 11640125850210/27

LCM = 431115772230

Thus, we can understand that the LCM of 657,759,213,281,390 is 431115772230.

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

• LCM of 203, 143, 530, 465, 584
• LCM of 759, 643, 820, 607, 672
• LCM of 576, 532, 342, 611, 352
• LCM of 542, 113, 845, 878, 318
• LCM of 209, 327, 177, 199, 871

1. What is the LCM of 657, 759, 213, 281, 390?

Answer: LCM of 657, 759, 213, 281, 390 is 431115772230.

2. How to calculate the LCM of 657, 759, 213, 281, 390?

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 657, 759, 213, 281, 390.

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}.