Given numbers are 414,608,237,552

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

The LCM of 414,608,237,552 is 9942624.

Find LCM of 414,608,237,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 1 x 76 x 79 x 3 = 9942624

Therefore, the lowest common multiple of 414,608,237,552 is 9942624.

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.

414 x 608 x 237 x 552 = 32929970688

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.

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

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

237 : 1, 3, 79, 237

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,608,237,552, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

608:2x 2x 2x 2x 2x 19

237:3x 79

552:2x 2x 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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 32929970688/(1x3312)

LCM = 32929970688/3312

LCM = 9942624

Thus, we can understand that the LCM of 414,608,237,552 is 9942624.

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

• LCM of 615, 765, 201, 274
• LCM of 915, 959, 622, 870
• LCM of 267, 110, 300, 337
• LCM of 661, 755, 398, 546
• LCM of 533, 162, 200, 808

1. What is the LCM of 414, 608, 237, 552?

Answer: LCM of 414, 608, 237, 552 is 9942624.

2. How to calculate the LCM of 414, 608, 237, 552?

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 414, 608, 237, 552.

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}.