Given numbers are 540,460,329,471,132

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

The LCM of 540,460,329,471,132 is 7056832860.

Find LCM of 540,460,329,471,132 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 23 x 329 x 157 x 11 = 7056832860

Therefore, the lowest common multiple of 540,460,329,471,132 is 7056832860.

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.

540 x 460 x 329 x 471 x 132 = 5080919659200

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

329 : 1, 7, 47, 329

471 : 1, 3, 157, 471

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,460,329,471,132, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

460:2x 2x 5x 23

329:7x 47

471:3x 157

132:2x 2x 3x 11

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 5 = 720

Therefore, the value for common factors is 720.

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 = 5080919659200/(1x720)

LCM = 5080919659200/720

LCM = 7056832860

Thus, we can understand that the LCM of 540,460,329,471,132 is 7056832860.

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

• LCM of 166, 692, 737, 515, 160
• LCM of 584, 764, 871, 477, 440
• LCM of 661, 364, 617, 637, 373
• LCM of 886, 576, 806, 198, 666
• LCM of 737, 459, 891, 405, 616

1. What is the LCM of 540, 460, 329, 471, 132?

Answer: LCM of 540, 460, 329, 471, 132 is 7056832860.

2. How to calculate the LCM of 540, 460, 329, 471, 132?

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 540, 460, 329, 471, 132.

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}.