Given numbers are 990,150,380,919,307

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

The LCM of 990,150,380,919,307 is 53069217300.

Find LCM of 990,150,380,919,307 with Prime Factorization

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

2 x 3 x 5 x 33 x 5 x 38 x 919 x 307 = 53069217300

Therefore, the lowest common multiple of 990,150,380,919,307 is 53069217300.

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.

990 x 150 x 380 x 919 x 307 = 15920765190000

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

919 : 1, 919

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,150,380,919,307, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

150:2x 3x 5x 5

380:2x 2x 5x 19

919:919

307:307

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 = 15920765190000/(1x300)

LCM = 15920765190000/300

LCM = 53069217300

Thus, we can understand that the LCM of 990,150,380,919,307 is 53069217300.

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

• LCM of 864, 364, 949, 271, 830
• LCM of 362, 682, 485, 364, 187
• LCM of 146, 384, 141, 228, 425
• LCM of 532, 898, 866, 449, 167
• LCM of 139, 352, 498, 561, 826

1. What is the LCM of 990, 150, 380, 919, 307?

Answer: LCM of 990, 150, 380, 919, 307 is 53069217300.

2. How to calculate the LCM of 990, 150, 380, 919, 307?

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 990, 150, 380, 919, 307.

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}.