Given numbers are 403,720,765,990

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

The LCM of 403,720,765,990 is 54259920.

Find LCM of 403,720,765,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 403 x 8 x 17 x 11 = 54259920

Therefore, the lowest common multiple of 403,720,765,990 is 54259920.

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.

403 x 720 x 765 x 990 = 219752676000

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.

403 : 1, 13, 31, 403

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,720,765,990, is 1.

Now, the common factors can be found like this.

403:13x 31

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

765:3x 3x 5x 17

990:2x 3x 3x 5x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 5x 5 = 4050

Therefore, the value for common factors is 4050.

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 = 219752676000/(1x4050)

LCM = 219752676000/4050

LCM = 54259920

Thus, we can understand that the LCM of 403,720,765,990 is 54259920.

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

• LCM of 570, 313, 279, 228
• LCM of 224, 413, 413, 452
• LCM of 505, 489, 882, 401
• LCM of 511, 869, 384, 840
• LCM of 212, 917, 612, 761

1. What is the LCM of 403, 720, 765, 990?

Answer: LCM of 403, 720, 765, 990 is 54259920.

2. How to calculate the LCM of 403, 720, 765, 990?

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 403, 720, 765, 990.

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}.