Given numbers are 728,320,129,286,175

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

The LCM of 728,320,129,286,175 is 206606400.

Find LCM of 728,320,129,286,175 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 13 x 1 x 8 x 129 x 11 x 5 = 206606400

Therefore, the lowest common multiple of 728,320,129,286,175 is 206606400.

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.

728 x 320 x 129 x 286 x 175 = 1504094592000

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

129 : 1, 3, 43, 129

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

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,320,129,286,175, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

320:2x 2x 2x 2x 2x 2x 5

129:3x 43

286:2x 11x 13

175:5x 5x 7

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 5x 7x 13 = 7280

Therefore, the value for common factors is 7280.

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 = 1504094592000/(1x7280)

LCM = 1504094592000/7280

LCM = 206606400

Thus, we can understand that the LCM of 728,320,129,286,175 is 206606400.

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

• LCM of 693, 744, 453, 778, 167
• LCM of 701, 334, 864, 293, 912
• LCM of 430, 795, 850, 991, 790
• LCM of 833, 289, 158, 235, 470
• LCM of 911, 764, 589, 938, 896

1. What is the LCM of 728, 320, 129, 286, 175?

Answer: LCM of 728, 320, 129, 286, 175 is 206606400.

2. How to calculate the LCM of 728, 320, 129, 286, 175?

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 728, 320, 129, 286, 175.

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}.