Given numbers are 470,423,538,257

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

The LCM of 470,423,538,257 is 292432590.

Find LCM of 470,423,538,257 with Prime Factorization

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

2 x 47 x 5 x 9 x 269 x 257 = 292432590

Therefore, the lowest common multiple of 470,423,538,257 is 292432590.

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.

470 x 423 x 538 x 257 = 27488663460

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.

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

423 : 1, 3, 9, 47, 141, 423

538 : 1, 2, 269, 538

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,423,538,257, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

423:3x 3x 47

538:2x 269

257:257

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 27488663460/(1x94)

LCM = 27488663460/94

LCM = 292432590

Thus, we can understand that the LCM of 470,423,538,257 is 292432590.

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

• LCM of 901, 274, 205, 477
• LCM of 175, 401, 196, 604
• LCM of 166, 644, 609, 249
• LCM of 940, 406, 250, 305
• LCM of 376, 434, 863, 955

1. What is the LCM of 470, 423, 538, 257?

Answer: LCM of 470, 423, 538, 257 is 292432590.

2. How to calculate the LCM of 470, 423, 538, 257?

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 470, 423, 538, 257.

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}.