Given numbers are 257,234,148,676

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

The LCM of 257,234,148,676 is 57852756.

Find LCM of 257,234,148,676 with Prime Factorization

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

2 x 2 x 13 x 257 x 9 x 37 x 13 = 57852756

Therefore, the lowest common multiple of 257,234,148,676 is 57852756.

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 234 x 148 x 676 = 6016686624

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

148 : 1, 2, 4, 37, 74, 148

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,234,148,676, is 1.

Now, the common factors can be found like this.

257:257

234:2x 3x 3x 13

148:2x 2x 37

676:2x 2x 13x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 6016686624/(1x104)

LCM = 6016686624/104

LCM = 57852756

Thus, we can understand that the LCM of 257,234,148,676 is 57852756.

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

• LCM of 121, 885, 505, 866
• LCM of 261, 954, 540, 505
• LCM of 857, 365, 770, 479
• LCM of 268, 882, 177, 161
• LCM of 682, 674, 636, 550

1. What is the LCM of 257, 234, 148, 676?

Answer: LCM of 257, 234, 148, 676 is 57852756.

2. How to calculate the LCM of 257, 234, 148, 676?

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, 234, 148, 676.

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}.