Given numbers are 252,456,342,324,537

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

The LCM of 252,456,342,324,537 is 15426936.

Find LCM of 252,456,342,324,537 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 7 x 2 x 1 x 9 x 179 = 15426936

Therefore, the lowest common multiple of 252,456,342,324,537 is 15426936.

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 456 x 342 x 324 x 537 = 6837711697152

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

537 : 1, 3, 179, 537

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,456,342,324,537, is 3.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

456:2x 2x 2x 3x 19

342:2x 3x 3x 19

324:2x 2x 3x 3x 3x 3

537:3x 179

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 2x 3x 3x 3x 3x 3x 19 = 147744

Therefore, the value for common factors is 147744.

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 = 6837711697152/(3x147744)

LCM = 6837711697152/443232

LCM = 15426936

Thus, we can understand that the LCM of 252,456,342,324,537 is 15426936.

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

• LCM of 567, 934, 393, 781, 390
• LCM of 619, 941, 261, 610, 401
• LCM of 299, 788, 833, 721, 605
• LCM of 766, 944, 705, 185, 118
• LCM of 581, 680, 545, 960, 408

1. What is the LCM of 252, 456, 342, 324, 537?

Answer: LCM of 252, 456, 342, 324, 537 is 15426936.

2. How to calculate the LCM of 252, 456, 342, 324, 537?

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, 456, 342, 324, 537.

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}.