Given numbers are 257,678,171,691,323

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

The LCM of 257,678,171,691,323 is 116671462434.

Find LCM of 257,678,171,691,323 with Prime Factorization

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

3 x 19 x 257 x 226 x 3 x 691 x 17 = 116671462434

Therefore, the lowest common multiple of 257,678,171,691,323 is 116671462434.

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.

257 x 678 x 171 x 691 x 323 = 6650273358738

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.

257 : 1, 257

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

691 : 1, 691

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,678,171,691,323, is 1.

Now, the common factors can be found like this.

257:257

678:2x 3x 113

171:3x 3x 19

691:691

323:17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 6650273358738/(1x57)

LCM = 6650273358738/57

LCM = 116671462434

Thus, we can understand that the LCM of 257,678,171,691,323 is 116671462434.

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

• LCM of 700, 448, 389, 643, 540
• LCM of 659, 383, 735, 380, 540
• LCM of 852, 311, 140, 476, 162
• LCM of 432, 262, 928, 912, 321
• LCM of 976, 417, 435, 201, 339

1. What is the LCM of 257, 678, 171, 691, 323?

Answer: LCM of 257, 678, 171, 691, 323 is 116671462434.

2. How to calculate the LCM of 257, 678, 171, 691, 323?

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 257, 678, 171, 691, 323.

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}.