Given numbers are 257,672,471,588,138

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

The LCM of 257,672,471,588,138 is 4365439008.

Find LCM of 257,672,471,588,138 with Prime Factorization

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

2 x 2 x 3 x 7 x 257 x 8 x 157 x 7 x 23 = 4365439008

Therefore, the lowest common multiple of 257,672,471,588,138 is 4365439008.

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 672 x 471 x 588 x 138 = 6600543780096

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

471 : 1, 3, 157, 471

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,672,471,588,138, is 1.

Now, the common factors can be found like this.

257:257

672:2x 2x 2x 2x 2x 3x 7

471:3x 157

588:2x 2x 3x 7x 7

138:2x 3x 23

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 2x 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 6600543780096/(1x1512)

LCM = 6600543780096/1512

LCM = 4365439008

Thus, we can understand that the LCM of 257,672,471,588,138 is 4365439008.

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

• LCM of 315, 728, 314, 331, 564
• LCM of 943, 208, 321, 656, 135
• LCM of 585, 826, 930, 647, 588
• LCM of 706, 982, 358, 328, 295
• LCM of 596, 847, 640, 219, 923

1. What is the LCM of 257, 672, 471, 588, 138?

Answer: LCM of 257, 672, 471, 588, 138 is 4365439008.

2. How to calculate the LCM of 257, 672, 471, 588, 138?

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, 672, 471, 588, 138.

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}.