Given numbers are 257,175,450,780,685

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

The LCM of 257,175,450,780,685 is 2883617100.

Find LCM of 257,175,450,780,685 with Prime Factorization

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

2 x 3 x 5 x 5 x 257 x 7 x 3 x 26 x 137 = 2883617100

Therefore, the lowest common multiple of 257,175,450,780,685 is 2883617100.

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.

257 x 175 x 450 x 780 x 685 = 10813564125000

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.

257 : 1, 257

175 : 1, 5, 7, 25, 35, 175

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,175,450,780,685, is 1.

Now, the common factors can be found like this.

257:257

175:5x 5x 7

450:2x 3x 3x 5x 5

780:2x 2x 3x 5x 13

685:5x 137

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

2x 3x 5x 5x 5x 5 = 3750

Therefore, the value for common factors is 3750.

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 = 10813564125000/(1x3750)

LCM = 10813564125000/3750

LCM = 2883617100

Thus, we can understand that the LCM of 257,175,450,780,685 is 2883617100.

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

• LCM of 119, 463, 677, 387, 513
• LCM of 164, 790, 657, 482, 890
• LCM of 370, 379, 526, 494, 128
• LCM of 732, 580, 160, 994, 208
• LCM of 595, 781, 697, 907, 481

1. What is the LCM of 257, 175, 450, 780, 685?

Answer: LCM of 257, 175, 450, 780, 685 is 2883617100.

2. How to calculate the LCM of 257, 175, 450, 780, 685?

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 257, 175, 450, 780, 685.

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}.