Given numbers are 440,102,257,273,459

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

The LCM of 440,102,257,273,459 is 4723238520.

Find LCM of 440,102,257,273,459 with Prime Factorization

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

2 x 3 x 17 x 220 x 1 x 257 x 91 x 9 = 4723238520

Therefore, the lowest common multiple of 440,102,257,273,459 is 4723238520.

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.

440 x 102 x 257 x 273 x 459 = 1445310987120

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

102 : 1, 2, 3, 6, 17, 34, 51, 102

257 : 1, 257

273 : 1, 3, 7, 13, 21, 39, 91, 273

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,102,257,273,459, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

102:2x 3x 17

257:257

273:3x 7x 13

459:3x 3x 3x 17

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 3x 17 = 306

Therefore, the value for common factors is 306.

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 = 1445310987120/(1x306)

LCM = 1445310987120/306

LCM = 4723238520

Thus, we can understand that the LCM of 440,102,257,273,459 is 4723238520.

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

• LCM of 962, 281, 601, 611, 837
• LCM of 675, 777, 531, 157, 482
• LCM of 363, 391, 188, 923, 904
• LCM of 350, 222, 132, 423, 145
• LCM of 981, 843, 366, 811, 985

1. What is the LCM of 440, 102, 257, 273, 459?

Answer: LCM of 440, 102, 257, 273, 459 is 4723238520.

2. How to calculate the LCM of 440, 102, 257, 273, 459?

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 440, 102, 257, 273, 459.

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}.