Given numbers are 257,390,454,714

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

The LCM of 257,390,454,714 is 2707512990.

Find LCM of 257,390,454,714 with Prime Factorization

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

2 x 3 x 257 x 65 x 227 x 119 = 2707512990

Therefore, the lowest common multiple of 257,390,454,714 is 2707512990.

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 390 x 454 x 714 = 32490155880

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

454 : 1, 2, 227, 454

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,390,454,714, is 1.

Now, the common factors can be found like this.

257:257

390:2x 3x 5x 13

454:2x 227

714:2x 3x 7x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 32490155880/(1x12)

LCM = 32490155880/12

LCM = 2707512990

Thus, we can understand that the LCM of 257,390,454,714 is 2707512990.

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

• LCM of 337, 428, 506, 505
• LCM of 488, 767, 742, 635
• LCM of 835, 712, 521, 685
• LCM of 797, 198, 783, 298
• LCM of 413, 922, 311, 416

1. What is the LCM of 257, 390, 454, 714?

Answer: LCM of 257, 390, 454, 714 is 2707512990.

2. How to calculate the LCM of 257, 390, 454, 714?

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, 390, 454, 714.

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}.