Given numbers are 442,914,269,660

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

The LCM of 442,914,269,660 is 17931007380.

Find LCM of 442,914,269,660 with Prime Factorization

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

2 x 221 x 457 x 269 x 330 = 17931007380

Therefore, the lowest common multiple of 442,914,269,660 is 17931007380.

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.

442 x 914 x 269 x 660 = 71724029520

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

914 : 1, 2, 457, 914

269 : 1, 269

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,914,269,660, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

914:2x 457

269:269

660:2x 2x 3x 5x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 71724029520/(1x4)

LCM = 71724029520/4

LCM = 17931007380

Thus, we can understand that the LCM of 442,914,269,660 is 17931007380.

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

• LCM of 696, 498, 267, 126
• LCM of 509, 742, 682, 222
• LCM of 517, 465, 836, 108
• LCM of 105, 968, 518, 247
• LCM of 264, 815, 513, 322

1. What is the LCM of 442, 914, 269, 660?

Answer: LCM of 442, 914, 269, 660 is 17931007380.

2. How to calculate the LCM of 442, 914, 269, 660?

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 442, 914, 269, 660.

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}.