Given numbers are 484,260,414,232

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

The LCM of 484,260,414,232 is 377708760.

Find LCM of 484,260,414,232 with Prime Factorization

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

2 x 2 x 121 x 65 x 207 x 58 = 377708760

Therefore, the lowest common multiple of 484,260,414,232 is 377708760.

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.

484 x 260 x 414 x 232 = 12086680320

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.

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,260,414,232, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

260:2x 2x 5x 13

414:2x 3x 3x 23

232:2x 2x 2x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12086680320/(2x16)

LCM = 12086680320/32

LCM = 377708760

Thus, we can understand that the LCM of 484,260,414,232 is 377708760.

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

• LCM of 304, 534, 417, 191
• LCM of 377, 269, 808, 992
• LCM of 652, 898, 206, 641
• LCM of 861, 969, 986, 841
• LCM of 944, 698, 522, 148

1. What is the LCM of 484, 260, 414, 232?

Answer: LCM of 484, 260, 414, 232 is 377708760.

2. How to calculate the LCM of 484, 260, 414, 232?

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 484, 260, 414, 232.

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}.