Given numbers are 187,129,208,304,828

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

The LCM of 187,129,208,304,828 is 6578052624.

Find LCM of 187,129,208,304,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 187 x 43 x 13 x 19 x 69 = 6578052624

Therefore, the lowest common multiple of 187,129,208,304,828 is 6578052624.

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.

187 x 129 x 208 x 304 x 828 = 1262986103808

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.

187 : 1, 11, 17, 187

129 : 1, 3, 43, 129

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,129,208,304,828, is 1.

Now, the common factors can be found like this.

187:11x 17

129:3x 43

208:2x 2x 2x 2x 13

304:2x 2x 2x 2x 19

828:2x 2x 3x 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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 1262986103808/(1x192)

LCM = 1262986103808/192

LCM = 6578052624

Thus, we can understand that the LCM of 187,129,208,304,828 is 6578052624.

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

• LCM of 835, 799, 603, 378, 836
• LCM of 564, 506, 988, 695, 589
• LCM of 335, 474, 914, 588, 573
• LCM of 207, 382, 265, 340, 283
• LCM of 829, 986, 389, 503, 354

1. What is the LCM of 187, 129, 208, 304, 828?

Answer: LCM of 187, 129, 208, 304, 828 is 6578052624.

2. How to calculate the LCM of 187, 129, 208, 304, 828?

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 187, 129, 208, 304, 828.

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}.