Given numbers are 466,456,428,434,276

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

The LCM of 466,456,428,434,276 is 56740363176.

Find LCM of 466,456,428,434,276 with Prime Factorization

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

2 x 2 x 3 x 233 x 38 x 107 x 217 x 23 = 56740363176

Therefore, the lowest common multiple of 466,456,428,434,276 is 56740363176.

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.

466 x 456 x 428 x 434 x 276 = 10894149729792

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.

466 : 1, 2, 233, 466

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

428 : 1, 2, 4, 107, 214, 428

434 : 1, 2, 7, 14, 31, 62, 217, 434

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,456,428,434,276, is 2.

Now, the common factors can be found like this.

466:2x 233

456:2x 2x 2x 3x 19

428:2x 2x 107

434:2x 7x 31

276:2x 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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 10894149729792/(2x96)

LCM = 10894149729792/192

LCM = 56740363176

Thus, we can understand that the LCM of 466,456,428,434,276 is 56740363176.

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

• LCM of 103, 188, 529, 570, 783
• LCM of 593, 146, 798, 314, 744
• LCM of 335, 554, 824, 997, 722
• LCM of 388, 443, 656, 731, 157
• LCM of 723, 500, 628, 551, 868

1. What is the LCM of 466, 456, 428, 434, 276?

Answer: LCM of 466, 456, 428, 434, 276 is 56740363176.

2. How to calculate the LCM of 466, 456, 428, 434, 276?

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 466, 456, 428, 434, 276.

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}.