Given numbers are 984,497,400,720,365

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

The LCM of 984,497,400,720,365 is 5355075600.

Find LCM of 984,497,400,720,365 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 41 x 497 x 5 x 3 x 73 = 5355075600

Therefore, the lowest common multiple of 984,497,400,720,365 is 5355075600.

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.

984 x 497 x 400 x 720 x 365 = 51408725760000

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

497 : 1, 7, 71, 497

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,497,400,720,365, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

497:7x 71

400:2x 2x 2x 2x 5x 5

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

365:5x 73

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 2x 2x 3x 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 51408725760000/(1x9600)

LCM = 51408725760000/9600

LCM = 5355075600

Thus, we can understand that the LCM of 984,497,400,720,365 is 5355075600.

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

• LCM of 544, 266, 645, 390, 141
• LCM of 349, 146, 656, 184, 560
• LCM of 642, 233, 776, 256, 755
• LCM of 131, 200, 906, 125, 154
• LCM of 359, 361, 558, 974, 555

1. What is the LCM of 984, 497, 400, 720, 365?

Answer: LCM of 984, 497, 400, 720, 365 is 5355075600.

2. How to calculate the LCM of 984, 497, 400, 720, 365?

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 984, 497, 400, 720, 365.

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}.