Given numbers are 900,284,300,562

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

The LCM of 900,284,300,562 is 17955900.

Find LCM of 900,284,300,562 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 1 x 71 x 3 x 281 = 17955900

Therefore, the lowest common multiple of 900,284,300,562 is 17955900.

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.

900 x 284 x 300 x 562 = 43094160000

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.

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

284 : 1, 2, 4, 71, 142, 284

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,284,300,562, is 2.

Now, the common factors can be found like this.

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

284:2x 2x 71

300:2x 2x 3x 5x 5

562:2x 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 2x 2x 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 43094160000/(2x1200)

LCM = 43094160000/2400

LCM = 17955900

Thus, we can understand that the LCM of 900,284,300,562 is 17955900.

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

• LCM of 868, 144, 889, 467
• LCM of 443, 526, 487, 106
• LCM of 320, 227, 478, 120
• LCM of 257, 638, 826, 158
• LCM of 256, 551, 469, 907

1. What is the LCM of 900, 284, 300, 562?

Answer: LCM of 900, 284, 300, 562 is 17955900.

2. How to calculate the LCM of 900, 284, 300, 562?

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 900, 284, 300, 562.

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}.