Given numbers are 460,723,272

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

The LCM of 460,723,272 is 22615440.

Find LCM of 460,723,272 with Prime Factorization

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

2 x 2 x 115 x 723 x 68 = 22615440

Therefore, the lowest common multiple of 460,723,272 is 22615440.

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.

460 x 723 x 272 = 90461760

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.

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

723 : 1, 3, 241, 723

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,723,272, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

723:3x 241

272:2x 2x 2x 2x 17

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 = 90461760/(1x4)

LCM = 90461760/4

LCM = 22615440

Thus, we can understand that the LCM of 460,723,272 is 22615440.

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

• LCM of 349, 960, 412
• LCM of 222, 264, 492
• LCM of 296, 482, 895
• LCM of 703, 776, 761
• LCM of 710, 960, 335

1. What is the LCM of 460, 723, 272?

Answer: LCM of 460, 723, 272 is 22615440.

2. How to calculate the LCM of 460, 723, 272?

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 460, 723, 272.

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}.