Given numbers are 281,578,750,322,216

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

The LCM of 281,578,750,322,216 is 353015523000.

Find LCM of 281,578,750,322,216 with Prime Factorization

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

2 x 3 x 281 x 289 x 125 x 161 x 36 = 353015523000

Therefore, the lowest common multiple of 281,578,750,322,216 is 353015523000.

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.

281 x 578 x 750 x 322 x 216 = 8472372552000

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.

281 : 1, 281

578 : 1, 2, 17, 34, 289, 578

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,578,750,322,216, is 1.

Now, the common factors can be found like this.

281:281

578:2x 17x 17

750:2x 3x 5x 5x 5

322:2x 7x 23

216:2x 2x 2x 3x 3x 3

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 3 = 24

Therefore, the value for common factors is 24.

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 = 8472372552000/(1x24)

LCM = 8472372552000/24

LCM = 353015523000

Thus, we can understand that the LCM of 281,578,750,322,216 is 353015523000.

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

• LCM of 713, 175, 736, 821, 920
• LCM of 437, 709, 222, 323, 365
• LCM of 796, 473, 705, 411, 621
• LCM of 517, 837, 339, 340, 643
• LCM of 140, 319, 983, 631, 331

1. What is the LCM of 281, 578, 750, 322, 216?

Answer: LCM of 281, 578, 750, 322, 216 is 353015523000.

2. How to calculate the LCM of 281, 578, 750, 322, 216?

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 281, 578, 750, 322, 216.

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}.