Given numbers are 257,319,538,242

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

The LCM of 257,319,538,242 is 485175394.

Find LCM of 257,319,538,242 with Prime Factorization

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

2 x 11 x 257 x 29 x 269 x 11 = 485175394

Therefore, the lowest common multiple of 257,319,538,242 is 485175394.

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 319 x 538 x 242 = 10673858668

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

319 : 1, 11, 29, 319

538 : 1, 2, 269, 538

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,319,538,242, is 1.

Now, the common factors can be found like this.

257:257

319:11x 29

538:2x 269

242:2x 11x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10673858668/(1x22)

LCM = 10673858668/22

LCM = 485175394

Thus, we can understand that the LCM of 257,319,538,242 is 485175394.

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

• LCM of 680, 710, 446, 955
• LCM of 782, 898, 141, 131
• LCM of 378, 473, 757, 439
• LCM of 597, 852, 170, 940
• LCM of 158, 264, 667, 964

1. What is the LCM of 257, 319, 538, 242?

Answer: LCM of 257, 319, 538, 242 is 485175394.

2. How to calculate the LCM of 257, 319, 538, 242?

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, 319, 538, 242.

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}.