Given numbers are 257,450,310,496,840

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

The LCM of 257,450,310,496,840 is 200768400.

Find LCM of 257,450,310,496,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 31 x 257 x 15 x 1 x 2 x 7 = 200768400

Therefore, the lowest common multiple of 257,450,310,496,840 is 200768400.

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 450 x 310 x 496 x 840 = 14937168960000

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

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,450,310,496,840, is 1.

Now, the common factors can be found like this.

257:257

450:2x 3x 3x 5x 5

310:2x 5x 31

496:2x 2x 2x 2x 31

840:2x 2x 2x 3x 5x 7

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 3x 5x 5x 31 = 74400

Therefore, the value for common factors is 74400.

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 = 14937168960000/(1x74400)

LCM = 14937168960000/74400

LCM = 200768400

Thus, we can understand that the LCM of 257,450,310,496,840 is 200768400.

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

• LCM of 401, 717, 966, 532, 277
• LCM of 402, 381, 904, 683, 118
• LCM of 200, 781, 600, 382, 394
• LCM of 961, 382, 418, 252, 453
• LCM of 820, 448, 559, 724, 764

1. What is the LCM of 257, 450, 310, 496, 840?

Answer: LCM of 257, 450, 310, 496, 840 is 200768400.

2. How to calculate the LCM of 257, 450, 310, 496, 840?

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, 450, 310, 496, 840.

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}.