Given numbers are 720,504,396,201

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

The LCM of 720,504,396,201 is 3714480.

Find LCM of 720,504,396,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 10 x 7 x 11 x 67 = 3714480

Therefore, the lowest common multiple of 720,504,396,201 is 3714480.

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.

720 x 504 x 396 x 201 = 28883796480

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

201 : 1, 3, 67, 201

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,504,396,201, is 3.

Now, the common factors can be found like this.

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

504:2x 2x 2x 3x 3x 7

396:2x 2x 3x 3x 11

201:3x 67

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 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 28883796480/(3x2592)

LCM = 28883796480/7776

LCM = 3714480

Thus, we can understand that the LCM of 720,504,396,201 is 3714480.

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

• LCM of 915, 415, 567, 467
• LCM of 455, 205, 737, 355
• LCM of 745, 106, 423, 286
• LCM of 363, 729, 191, 779
• LCM of 595, 776, 720, 668

1. What is the LCM of 720, 504, 396, 201?

Answer: LCM of 720, 504, 396, 201 is 3714480.

2. How to calculate the LCM of 720, 504, 396, 201?

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 720, 504, 396, 201.

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}.