Given numbers are 257,114,364,386,470

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

The LCM of 257,114,364,386,470 is 241843563780.

Find LCM of 257,114,364,386,470 with Prime Factorization

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

2 x 257 x 57 x 182 x 193 x 235 = 241843563780

Therefore, the lowest common multiple of 257,114,364,386,470 is 241843563780.

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 114 x 364 x 386 x 470 = 1934748510240

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

386 : 1, 2, 193, 386

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,114,364,386,470, is 1.

Now, the common factors can be found like this.

257:257

114:2x 3x 19

364:2x 2x 7x 13

386:2x 193

470:2x 5x 47

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1934748510240/(1x8)

LCM = 1934748510240/8

LCM = 241843563780

Thus, we can understand that the LCM of 257,114,364,386,470 is 241843563780.

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

• LCM of 380, 122, 126, 997, 403
• LCM of 970, 147, 805, 419, 584
• LCM of 549, 677, 915, 806, 814
• LCM of 306, 696, 391, 398, 924
• LCM of 817, 516, 911, 419, 739

1. What is the LCM of 257, 114, 364, 386, 470?

Answer: LCM of 257, 114, 364, 386, 470 is 241843563780.

2. How to calculate the LCM of 257, 114, 364, 386, 470?

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, 114, 364, 386, 470.

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}.