Given numbers are 724,323,460

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

The LCM of 724,323,460 is 26892980.

Find LCM of 724,323,460 with Prime Factorization

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

2 x 2 x 181 x 323 x 115 = 26892980

Therefore, the lowest common multiple of 724,323,460 is 26892980.

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 323 x 460 = 107571920

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

323 : 1, 17, 19, 323

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,323,460, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

323:17x 19

460:2x 2x 5x 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 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 = 107571920/(1x4)

LCM = 107571920/4

LCM = 26892980

Thus, we can understand that the LCM of 724,323,460 is 26892980.

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

• LCM of 142, 396, 457
• LCM of 928, 353, 871
• LCM of 373, 201, 414
• LCM of 763, 375, 886
• LCM of 799, 396, 478

1. What is the LCM of 724, 323, 460?

Answer: LCM of 724, 323, 460 is 26892980.

2. How to calculate the LCM of 724, 323, 460?

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, 323, 460.

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}.