Given numbers are 268,413,458,465,184

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

The LCM of 268,413,458,465,184 is 542164544040.

Find LCM of 268,413,458,465,184 with Prime Factorization

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

2 x 2 x 67 x 413 x 229 x 465 x 46 = 542164544040

Therefore, the lowest common multiple of 268,413,458,465,184 is 542164544040.

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.

268 x 413 x 458 x 465 x 184 = 4337316352320

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.

268 : 1, 2, 4, 67, 134, 268

413 : 1, 7, 59, 413

458 : 1, 2, 229, 458

465 : 1, 3, 5, 15, 31, 93, 155, 465

184 : 1, 2, 4, 8, 23, 46, 92, 184

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,413,458,465,184, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

413:7x 59

458:2x 229

465:3x 5x 31

184:2x 2x 2x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 4337316352320/(1x8)

LCM = 4337316352320/8

LCM = 542164544040

Thus, we can understand that the LCM of 268,413,458,465,184 is 542164544040.

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

• LCM of 362, 828, 836, 114, 160
• LCM of 925, 673, 310, 220, 126
• LCM of 522, 132, 673, 907, 298
• LCM of 568, 395, 801, 665, 579
• LCM of 631, 554, 428, 459, 229

1. What is the LCM of 268, 413, 458, 465, 184?

Answer: LCM of 268, 413, 458, 465, 184 is 542164544040.

2. How to calculate the LCM of 268, 413, 458, 465, 184?

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 268, 413, 458, 465, 184.

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}.