Given numbers are 257,595,469,357

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

The LCM of 257,595,469,357 is 30735915.

Find LCM of 257,595,469,357 with Prime Factorization

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

7 x 17 x 257 x 5 x 67 x 3 = 30735915

Therefore, the lowest common multiple of 257,595,469,357 is 30735915.

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 595 x 469 x 357 = 25603017195

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

469 : 1, 7, 67, 469

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,595,469,357, is 1.

Now, the common factors can be found like this.

257:257

595:5x 7x 17

469:7x 67

357:3x 7x 17

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

7x 7x 17 = 833

Therefore, the value for common factors is 833.

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 = 25603017195/(1x833)

LCM = 25603017195/833

LCM = 30735915

Thus, we can understand that the LCM of 257,595,469,357 is 30735915.

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

• LCM of 735, 332, 366, 592
• LCM of 674, 595, 699, 283
• LCM of 475, 155, 686, 694
• LCM of 588, 822, 424, 811
• LCM of 263, 323, 234, 184

1. What is the LCM of 257, 595, 469, 357?

Answer: LCM of 257, 595, 469, 357 is 30735915.

2. How to calculate the LCM of 257, 595, 469, 357?

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, 595, 469, 357.

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}.