Given numbers are 724,240,396,252

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

The LCM of 724,240,396,252 is 10034640.

Find LCM of 724,240,396,252 with Prime Factorization

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

2 x 2 x 3 x 3 x 181 x 20 x 11 x 7 = 10034640

Therefore, the lowest common multiple of 724,240,396,252 is 10034640.

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.

724 x 240 x 396 x 252 = 17339857920

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.

724 : 1, 2, 4, 181, 362, 724

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,240,396,252, is 4.

Now, the common factors can be found like this.

724:2x 2x 181

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

396:2x 2x 3x 3x 11

252:2x 2x 3x 3x 7

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 17339857920/(4x432)

LCM = 17339857920/1728

LCM = 10034640

Thus, we can understand that the LCM of 724,240,396,252 is 10034640.

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

• LCM of 869, 433, 444, 261
• LCM of 174, 854, 145, 400
• LCM of 101, 396, 908, 616
• LCM of 272, 976, 720, 380
• LCM of 323, 102, 673, 861

1. What is the LCM of 724, 240, 396, 252?

Answer: LCM of 724, 240, 396, 252 is 10034640.

2. How to calculate the LCM of 724, 240, 396, 252?

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 724, 240, 396, 252.

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}.