Given numbers are 257,144,771,974

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

The LCM of 257,144,771,974 is 18022896.

Find LCM of 257,144,771,974 with Prime Factorization

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

2 x 3 x 257 x 1 x 24 x 1 x 487 = 18022896

Therefore, the lowest common multiple of 257,144,771,974 is 18022896.

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 144 x 771 x 974 = 27791305632

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

771 : 1, 3, 257, 771

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,144,771,974, is 1.

Now, the common factors can be found like this.

257:257

144:2x 2x 2x 2x 3x 3

771:3x 257

974:2x 487

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

2x 3x 257 = 1542

Therefore, the value for common factors is 1542.

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 = 27791305632/(1x1542)

LCM = 27791305632/1542

LCM = 18022896

Thus, we can understand that the LCM of 257,144,771,974 is 18022896.

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

• LCM of 269, 580, 380, 856
• LCM of 358, 778, 100, 523
• LCM of 150, 632, 170, 546
• LCM of 485, 510, 319, 938
• LCM of 184, 661, 615, 628

1. What is the LCM of 257, 144, 771, 974?

Answer: LCM of 257, 144, 771, 974 is 18022896.

2. How to calculate the LCM of 257, 144, 771, 974?

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, 144, 771, 974.

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}.