Given numbers are 464,276,828,204

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

The LCM of 464,276,828,204 is 1632816.

Find LCM of 464,276,828,204 with Prime Factorization

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

2 x 2 x 3 x 23 x 116 x 1 x 3 x 17 = 1632816

Therefore, the lowest common multiple of 464,276,828,204 is 1632816.

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.

464 x 276 x 828 x 204 = 21631546368

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,276,828,204, is 4.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

276:2x 2x 3x 23

828:2x 2x 3x 3x 23

204:2x 2x 3x 17

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 = 21631546368/(4x3312)

LCM = 21631546368/13248

LCM = 1632816

Thus, we can understand that the LCM of 464,276,828,204 is 1632816.

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

• LCM of 162, 516, 158, 298
• LCM of 751, 937, 538, 336
• LCM of 963, 882, 327, 899
• LCM of 282, 892, 988, 222
• LCM of 473, 144, 615, 488

1. What is the LCM of 464, 276, 828, 204?

Answer: LCM of 464, 276, 828, 204 is 1632816.

2. How to calculate the LCM of 464, 276, 828, 204?

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 464, 276, 828, 204.

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}.