Given numbers are 257,604,438,634,917

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

The LCM of 257,604,438,634,917 is 9881952788148.

Find LCM of 257,604,438,634,917 with Prime Factorization

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

2 x 257 x 302 x 219 x 317 x 917 = 9881952788148

Therefore, the lowest common multiple of 257,604,438,634,917 is 9881952788148.

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 604 x 438 x 634 x 917 = 39527811152592

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

604 : 1, 2, 4, 151, 302, 604

438 : 1, 2, 3, 6, 73, 146, 219, 438

634 : 1, 2, 317, 634

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,604,438,634,917, is 1.

Now, the common factors can be found like this.

257:257

604:2x 2x 151

438:2x 3x 73

634:2x 317

917:7x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39527811152592/(1x4)

LCM = 39527811152592/4

LCM = 9881952788148

Thus, we can understand that the LCM of 257,604,438,634,917 is 9881952788148.

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

• LCM of 945, 866, 468, 856, 654
• LCM of 399, 667, 455, 113, 733
• LCM of 591, 693, 259, 918, 307
• LCM of 644, 854, 410, 595, 590
• LCM of 344, 274, 501, 824, 313

1. What is the LCM of 257, 604, 438, 634, 917?

Answer: LCM of 257, 604, 438, 634, 917 is 9881952788148.

2. How to calculate the LCM of 257, 604, 438, 634, 917?

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, 604, 438, 634, 917.

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}.