Given numbers are 257,494,338,137,407

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

The LCM of 257,494,338,137,407 is 92027664586.

Find LCM of 257,494,338,137,407 with Prime Factorization

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

2 x 13 x 257 x 19 x 13 x 137 x 407 = 92027664586

Therefore, the lowest common multiple of 257,494,338,137,407 is 92027664586.

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 494 x 338 x 137 x 407 = 2392719279236

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

338 : 1, 2, 13, 26, 169, 338

137 : 1, 137

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,494,338,137,407, is 1.

Now, the common factors can be found like this.

257:257

494:2x 13x 19

338:2x 13x 13

137:137

407:11x 37

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 2392719279236/(1x26)

LCM = 2392719279236/26

LCM = 92027664586

Thus, we can understand that the LCM of 257,494,338,137,407 is 92027664586.

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

• LCM of 317, 937, 665, 665, 884
• LCM of 277, 834, 604, 600, 889
• LCM of 325, 437, 765, 994, 494
• LCM of 951, 198, 861, 455, 767
• LCM of 314, 586, 628, 798, 732

1. What is the LCM of 257, 494, 338, 137, 407?

Answer: LCM of 257, 494, 338, 137, 407 is 92027664586.

2. How to calculate the LCM of 257, 494, 338, 137, 407?

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, 494, 338, 137, 407.

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}.