Given numbers are 286,129,128,196,361

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

The LCM of 286,129,128,196,361 is 41767549824.

Find LCM of 286,129,128,196,361 with Prime Factorization

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

2 x 2 x 143 x 129 x 32 x 49 x 361 = 41767549824

Therefore, the lowest common multiple of 286,129,128,196,361 is 41767549824.

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.

286 x 129 x 128 x 196 x 361 = 334140398592

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

129 : 1, 3, 43, 129

128 : 1, 2, 4, 8, 16, 32, 64, 128

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,129,128,196,361, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

129:3x 43

128:2x 2x 2x 2x 2x 2x 2

196:2x 2x 7x 7

361:19x 19

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 = 334140398592/(1x8)

LCM = 334140398592/8

LCM = 41767549824

Thus, we can understand that the LCM of 286,129,128,196,361 is 41767549824.

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

• LCM of 173, 475, 322, 290, 999
• LCM of 891, 702, 744, 410, 176
• LCM of 262, 536, 377, 509, 114
• LCM of 141, 693, 983, 239, 528
• LCM of 856, 950, 547, 768, 753

1. What is the LCM of 286, 129, 128, 196, 361?

Answer: LCM of 286, 129, 128, 196, 361 is 41767549824.

2. How to calculate the LCM of 286, 129, 128, 196, 361?

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 286, 129, 128, 196, 361.

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}.