Given numbers are 440,560,460,138

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

The LCM of 440,560,460,138 is 425040.

Find LCM of 440,560,460,138 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 11 x 14 x 1 x 3 = 425040

Therefore, the lowest common multiple of 440,560,460,138 is 425040.

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 560 x 460 x 138 = 15641472000

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,560,460,138, is 2.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

560:2x 2x 2x 2x 5x 7

460:2x 2x 5x 23

138:2x 3x 23

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 5x 5x 23 = 18400

Therefore, the value for common factors is 18400.

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 = 15641472000/(2x18400)

LCM = 15641472000/36800

LCM = 425040

Thus, we can understand that the LCM of 440,560,460,138 is 425040.

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

• LCM of 795, 443, 950, 309
• LCM of 161, 974, 125, 271
• LCM of 300, 705, 289, 333
• LCM of 493, 649, 925, 315
• LCM of 559, 326, 290, 386

1. What is the LCM of 440, 560, 460, 138?

Answer: LCM of 440, 560, 460, 138 is 425040.

2. How to calculate the LCM of 440, 560, 460, 138?

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, 560, 460, 138.

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}.