Given numbers are 990,447,812,971,720

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

The LCM of 990,447,812,971,720 is 232609109040.

Find LCM of 990,447,812,971,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 149 x 203 x 971 x 4 = 232609109040

Therefore, the lowest common multiple of 990,447,812,971,720 is 232609109040.

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 447 x 812 x 971 x 720 = 251217837763200

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

447 : 1, 3, 149, 447

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

971 : 1, 971

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,447,812,971,720, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

447:3x 149

812:2x 2x 7x 29

971:971

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 251217837763200/(1x1080)

LCM = 251217837763200/1080

LCM = 232609109040

Thus, we can understand that the LCM of 990,447,812,971,720 is 232609109040.

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

• LCM of 725, 831, 668, 207, 388
• LCM of 915, 959, 164, 762, 423
• LCM of 535, 793, 169, 203, 213
• LCM of 943, 953, 564, 846, 755
• LCM of 560, 522, 913, 212, 333

1. What is the LCM of 990, 447, 812, 971, 720?

Answer: LCM of 990, 447, 812, 971, 720 is 232609109040.

2. How to calculate the LCM of 990, 447, 812, 971, 720?

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, 447, 812, 971, 720.

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}.