Given numbers are 252,293,240,342,317

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

The LCM of 252,293,240,342,317 is 8894284560.

Find LCM of 252,293,240,342,317 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 293 x 20 x 19 x 317 = 8894284560

Therefore, the lowest common multiple of 252,293,240,342,317 is 8894284560.

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.

252 x 293 x 240 x 342 x 317 = 1921165464960

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

293 : 1, 293

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,293,240,342,317, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

293:293

240:2x 2x 2x 2x 3x 5

342:2x 3x 3x 19

317:317

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 1921165464960/(1x216)

LCM = 1921165464960/216

LCM = 8894284560

Thus, we can understand that the LCM of 252,293,240,342,317 is 8894284560.

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

• LCM of 528, 113, 292, 109, 776
• LCM of 749, 812, 281, 243, 634
• LCM of 220, 526, 472, 356, 231
• LCM of 718, 811, 892, 870, 675
• LCM of 580, 305, 470, 681, 892

1. What is the LCM of 252, 293, 240, 342, 317?

Answer: LCM of 252, 293, 240, 342, 317 is 8894284560.

2. How to calculate the LCM of 252, 293, 240, 342, 317?

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 252, 293, 240, 342, 317.

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}.