Given numbers are 322,528,460,708

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

The LCM of 322,528,460,708 is 25077360.

Find LCM of 322,528,460,708 with Prime Factorization

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

2 x 2 x 3 x 23 x 7 x 44 x 5 x 59 = 25077360

Therefore, the lowest common multiple of 322,528,460,708 is 25077360.

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.

322 x 528 x 460 x 708 = 55370810880

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,528,460,708, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

528:2x 2x 2x 2x 3x 11

460:2x 2x 5x 23

708:2x 2x 3x 59

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 23 = 1104

Therefore, the value for common factors is 1104.

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 = 55370810880/(2x1104)

LCM = 55370810880/2208

LCM = 25077360

Thus, we can understand that the LCM of 322,528,460,708 is 25077360.

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

• LCM of 260, 142, 713, 439
• LCM of 180, 517, 871, 276
• LCM of 997, 131, 842, 250
• LCM of 454, 397, 752, 197
• LCM of 609, 430, 892, 910

1. What is the LCM of 322, 528, 460, 708?

Answer: LCM of 322, 528, 460, 708 is 25077360.

2. How to calculate the LCM of 322, 528, 460, 708?

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 322, 528, 460, 708.

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}.