Given numbers are 317,584,142,568,253

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

The LCM of 317,584,142,568,253 is 3325454264.

Find LCM of 317,584,142,568,253 with Prime Factorization

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

2 x 2 x 2 x 71 x 317 x 73 x 1 x 1 x 253 = 3325454264

Therefore, the lowest common multiple of 317,584,142,568,253 is 3325454264.

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.

317 x 584 x 142 x 568 x 253 = 3777716043904

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.

317 : 1, 317

584 : 1, 2, 4, 8, 73, 146, 292, 584

142 : 1, 2, 71, 142

568 : 1, 2, 4, 8, 71, 142, 284, 568

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,584,142,568,253, is 1.

Now, the common factors can be found like this.

317:317

584:2x 2x 2x 73

142:2x 71

568:2x 2x 2x 71

253:11x 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 2x 71 = 1136

Therefore, the value for common factors is 1136.

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 = 3777716043904/(1x1136)

LCM = 3777716043904/1136

LCM = 3325454264

Thus, we can understand that the LCM of 317,584,142,568,253 is 3325454264.

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

• LCM of 942, 208, 500, 585, 283
• LCM of 903, 103, 452, 647, 388
• LCM of 705, 426, 360, 585, 240
• LCM of 788, 199, 395, 702, 770
• LCM of 571, 751, 188, 726, 377

1. What is the LCM of 317, 584, 142, 568, 253?

Answer: LCM of 317, 584, 142, 568, 253 is 3325454264.

2. How to calculate the LCM of 317, 584, 142, 568, 253?

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 317, 584, 142, 568, 253.

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}.