Given numbers are 257,507,274,350

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

The LCM of 257,507,274,350 is 6247837050.

Find LCM of 257,507,274,350 with Prime Factorization

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

2 x 257 x 507 x 137 x 175 = 6247837050

Therefore, the lowest common multiple of 257,507,274,350 is 6247837050.

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 507 x 274 x 350 = 12495674100

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

507 : 1, 3, 13, 39, 169, 507

274 : 1, 2, 137, 274

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,507,274,350, is 1.

Now, the common factors can be found like this.

257:257

507:3x 13x 13

274:2x 137

350:2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 12495674100/(1x2)

LCM = 12495674100/2

LCM = 6247837050

Thus, we can understand that the LCM of 257,507,274,350 is 6247837050.

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

• LCM of 472, 721, 962, 968
• LCM of 670, 734, 216, 377
• LCM of 388, 287, 570, 217
• LCM of 558, 473, 328, 504
• LCM of 364, 441, 919, 676

1. What is the LCM of 257, 507, 274, 350?

Answer: LCM of 257, 507, 274, 350 is 6247837050.

2. How to calculate the LCM of 257, 507, 274, 350?

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, 507, 274, 350.

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}.