Given numbers are 471,800,409,900,281

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

The LCM of 471,800,409,900,281 is 129915741600.

Find LCM of 471,800,409,900,281 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 157 x 8 x 409 x 3 x 281 = 129915741600

Therefore, the lowest common multiple of 471,800,409,900,281 is 129915741600.

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.

471 x 800 x 409 x 900 x 281 = 38974722480000

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.

471 : 1, 3, 157, 471

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

409 : 1, 409

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,800,409,900,281, is 1.

Now, the common factors can be found like this.

471:3x 157

800:2x 2x 2x 2x 2x 5x 5

409:409

900:2x 2x 3x 3x 5x 5

281:281

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 38974722480000/(1x300)

LCM = 38974722480000/300

LCM = 129915741600

Thus, we can understand that the LCM of 471,800,409,900,281 is 129915741600.

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

• LCM of 882, 111, 470, 608, 571
• LCM of 632, 826, 601, 647, 402
• LCM of 296, 572, 600, 412, 402
• LCM of 897, 945, 661, 840, 939
• LCM of 684, 276, 326, 820, 528

1. What is the LCM of 471, 800, 409, 900, 281?

Answer: LCM of 471, 800, 409, 900, 281 is 129915741600.

2. How to calculate the LCM of 471, 800, 409, 900, 281?

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 471, 800, 409, 900, 281.

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}.