Given numbers are 996,345,650,420,365

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

The LCM of 996,345,650,420,365 is 3804446100.

Find LCM of 996,345,650,420,365 with Prime Factorization

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

2 x 2 x 3 x 5 x 83 x 23 x 65 x 7 x 73 = 3804446100

Therefore, the lowest common multiple of 996,345,650,420,365 is 3804446100.

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.

996 x 345 x 650 x 420 x 365 = 34240014900000

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

345 : 1, 3, 5, 15, 23, 69, 115, 345

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,345,650,420,365, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

345:3x 5x 23

650:2x 5x 5x 13

420:2x 2x 3x 5x 7

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 3x 3x 5x 5x 5 = 9000

Therefore, the value for common factors is 9000.

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 = 34240014900000/(1x9000)

LCM = 34240014900000/9000

LCM = 3804446100

Thus, we can understand that the LCM of 996,345,650,420,365 is 3804446100.

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

• LCM of 946, 603, 618, 823, 768
• LCM of 868, 806, 171, 476, 382
• LCM of 969, 991, 464, 758, 717
• LCM of 467, 656, 406, 785, 304
• LCM of 203, 578, 270, 927, 554

1. What is the LCM of 996, 345, 650, 420, 365?

Answer: LCM of 996, 345, 650, 420, 365 is 3804446100.

2. How to calculate the LCM of 996, 345, 650, 420, 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 996, 345, 650, 420, 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}.