Given numbers are 450,544,484,257,423

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

The LCM of 450,544,484,257,423 is 178894821600.

Find LCM of 450,544,484,257,423 with Prime Factorization

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

2 x 2 x 3 x 3 x 25 x 136 x 121 x 257 x 47 = 178894821600

Therefore, the lowest common multiple of 450,544,484,257,423 is 178894821600.

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.

450 x 544 x 484 x 257 x 423 = 12880427155200

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.

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

257 : 1, 257

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,544,484,257,423, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

544:2x 2x 2x 2x 2x 17

484:2x 2x 11x 11

257:257

423:3x 3x 47

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 = 12880427155200/(1x72)

LCM = 12880427155200/72

LCM = 178894821600

Thus, we can understand that the LCM of 450,544,484,257,423 is 178894821600.

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

• LCM of 795, 335, 837, 679, 145
• LCM of 943, 802, 773, 736, 227
• LCM of 796, 692, 976, 538, 221
• LCM of 353, 547, 251, 268, 353
• LCM of 148, 301, 571, 378, 302

1. What is the LCM of 450, 544, 484, 257, 423?

Answer: LCM of 450, 544, 484, 257, 423 is 178894821600.

2. How to calculate the LCM of 450, 544, 484, 257, 423?

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 450, 544, 484, 257, 423.

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}.