Given numbers are 396,702,450,117,403

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

The LCM of 396,702,450,117,403 is 11969100.

Find LCM of 396,702,450,117,403 with Prime Factorization

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

2 x 3 x 3 x 13 x 22 x 1 x 25 x 3 x 31 = 11969100

Therefore, the lowest common multiple of 396,702,450,117,403 is 11969100.

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.

396 x 702 x 450 x 117 x 403 = 5898420356400

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.

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

117 : 1, 3, 9, 13, 39, 117

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,702,450,117,403, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

702:2x 3x 3x 3x 13

450:2x 3x 3x 5x 5

117:3x 3x 13

403:13x 31

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 3x 3x 3x 3x 3x 3x 13x 13 = 492804

Therefore, the value for common factors is 492804.

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 = 5898420356400/(1x492804)

LCM = 5898420356400/492804

LCM = 11969100

Thus, we can understand that the LCM of 396,702,450,117,403 is 11969100.

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

• LCM of 807, 866, 529, 398, 675
• LCM of 133, 850, 317, 572, 641
• LCM of 376, 330, 975, 586, 375
• LCM of 298, 198, 894, 768, 909
• LCM of 654, 815, 435, 836, 112

1. What is the LCM of 396, 702, 450, 117, 403?

Answer: LCM of 396, 702, 450, 117, 403 is 11969100.

2. How to calculate the LCM of 396, 702, 450, 117, 403?

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 396, 702, 450, 117, 403.

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}.