Given numbers are 171,302,307,728,182

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

The LCM of 171,302,307,728,182 is 5770890216.

Find LCM of 171,302,307,728,182 with Prime Factorization

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

2 x 7 x 13 x 171 x 151 x 307 x 4 x 1 = 5770890216

Therefore, the lowest common multiple of 171,302,307,728,182 is 5770890216.

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.

171 x 302 x 307 x 728 x 182 = 2100604038624

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.

171 : 1, 3, 9, 19, 57, 171

302 : 1, 2, 151, 302

307 : 1, 307

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,302,307,728,182, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

302:2x 151

307:307

728:2x 2x 2x 7x 13

182:2x 7x 13

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 2100604038624/(1x364)

LCM = 2100604038624/364

LCM = 5770890216

Thus, we can understand that the LCM of 171,302,307,728,182 is 5770890216.

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

• LCM of 739, 945, 937, 740, 221
• LCM of 245, 923, 277, 656, 429
• LCM of 107, 331, 854, 830, 180
• LCM of 844, 638, 983, 811, 745
• LCM of 200, 619, 952, 174, 477

1. What is the LCM of 171, 302, 307, 728, 182?

Answer: LCM of 171, 302, 307, 728, 182 is 5770890216.

2. How to calculate the LCM of 171, 302, 307, 728, 182?

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 171, 302, 307, 728, 182.

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}.