Given numbers are 467,110,520,900,885

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

The LCM of 467,110,520,900,885 is 7092142200.

Find LCM of 467,110,520,900,885 with Prime Factorization

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

2 x 2 x 3 x 5 x 467 x 11 x 26 x 15 x 59 = 7092142200

Therefore, the lowest common multiple of 467,110,520,900,885 is 7092142200.

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.

467 x 110 x 520 x 900 x 885 = 21276426600000

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.

467 : 1, 467

110 : 1, 2, 5, 10, 11, 22, 55, 110

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,110,520,900,885, is 1.

Now, the common factors can be found like this.

467:467

110:2x 5x 11

520:2x 2x 2x 5x 13

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

885:3x 5x 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 3x 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 21276426600000/(1x3000)

LCM = 21276426600000/3000

LCM = 7092142200

Thus, we can understand that the LCM of 467,110,520,900,885 is 7092142200.

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

• LCM of 149, 452, 272, 576, 157
• LCM of 561, 988, 445, 401, 278
• LCM of 755, 899, 151, 532, 889
• LCM of 966, 926, 828, 285, 384
• LCM of 217, 586, 370, 501, 280

1. What is the LCM of 467, 110, 520, 900, 885?

Answer: LCM of 467, 110, 520, 900, 885 is 7092142200.

2. How to calculate the LCM of 467, 110, 520, 900, 885?

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 467, 110, 520, 900, 885.

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}.