Given numbers are 272,168,204,857,434

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

The LCM of 272,168,204,857,434 is 151750704.

Find LCM of 272,168,204,857,434 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 2 x 1 x 1 x 857 x 31 = 151750704

Therefore, the lowest common multiple of 272,168,204,857,434 is 151750704.

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.

272 x 168 x 204 x 857 x 434 = 3467200084992

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

857 : 1, 857

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,168,204,857,434, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

168:2x 2x 2x 3x 7

204:2x 2x 3x 17

857:857

434:2x 7x 31

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 2x 3x 7x 17 = 22848

Therefore, the value for common factors is 22848.

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 = 3467200084992/(1x22848)

LCM = 3467200084992/22848

LCM = 151750704

Thus, we can understand that the LCM of 272,168,204,857,434 is 151750704.

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

• LCM of 541, 677, 470, 302, 334
• LCM of 233, 639, 326, 704, 757
• LCM of 301, 607, 644, 822, 259
• LCM of 330, 738, 194, 998, 233
• LCM of 856, 910, 423, 712, 399

1. What is the LCM of 272, 168, 204, 857, 434?

Answer: LCM of 272, 168, 204, 857, 434 is 151750704.

2. How to calculate the LCM of 272, 168, 204, 857, 434?

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 272, 168, 204, 857, 434.

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}.